├── .gitignore ├── CODE_OF_CONDUCT.md ├── CONTRIBUTING.md ├── LICENSE ├── README.md ├── hollight ├── LICENSE ├── test │ ├── aime-1983-p1.ml │ ├── aime-1983-p2.ml │ ├── aime-1983-p3.ml │ ├── aime-1984-p1.ml │ ├── aime-1984-p7.ml │ ├── aime-1994-p3.ml │ ├── aime-1995-p7.ml │ ├── algebra-2varlineareq-fp3zeq11-3tfm1m5zeqn68-feqn10-zeq7.ml │ ├── algebra-amgm-sum1toneqn-prod1tonleq1.ml │ ├── algebra-amgm-sumasqdivbgeqsuma.ml │ ├── algebra-ineq-nto1onlt2m1on.ml │ ├── algebra-others-exirrpowirrrat.ml │ ├── algebra-sqineq-at2malt1.ml │ ├── algebra-sqineq-unitcircatbpabsamblt1.ml │ ├── algebra-sqineq-unitcircatbpamblt1.ml │ ├── amc12-2000-p1.ml │ ├── amc12-2000-p12.ml │ ├── amc12-2000-p20.ml │ ├── amc12-2000-p6.ml │ ├── amc12-2001-p21.ml │ ├── amc12-2001-p5.ml │ ├── amc12a-2002-p13.ml │ ├── amc12a-2002-p6.ml │ ├── amc12a-2003-p23.ml │ ├── amc12a-2003-p5.ml │ ├── amc12a-2020-p10.ml │ ├── amc12a-2020-p15.ml │ ├── amc12a-2020-p4.ml │ ├── amc12a-2020-p7.ml │ ├── amc12a-2020-p9.ml │ ├── amc12a-2021-p12.ml │ ├── amc12a-2021-p14.ml │ ├── amc12a-2021-p18.ml │ ├── amc12a-2021-p19.ml │ ├── amc12a-2021-p22.ml │ ├── amc12a-2021-p25.ml │ ├── amc12a-2021-p3.ml │ ├── amc12a-2021-p8.ml │ ├── amc12a-2021-p9.ml │ ├── amc12b-2002-p19.ml │ ├── amc12b-2002-p2.ml │ ├── amc12b-2002-p4.ml │ ├── amc12b-2002-p7.ml │ ├── amc12b-2020-p13.ml │ ├── amc12b-2020-p2.ml │ ├── amc12b-2020-p21.ml │ ├── amc12b-2020-p22.ml │ ├── amc12b-2020-p6.ml │ ├── amc12b-2021-p1.ml │ ├── amc12b-2021-p13.ml │ ├── amc12b-2021-p18.ml │ ├── amc12b-2021-p3.ml │ ├── amc12b-2021-p4.ml │ ├── amc12b-2021-p9.ml │ ├── imo-1959-q1.ml │ ├── imo-2019-p1.ml │ ├── imosl_2007_algebra_p6.ml │ ├── induction-11div10tonmn1ton.ml │ ├── induction-12dvd4expnp1p20.ml │ ├── induction-1pxpownlt1pnx.ml │ ├── induction-nfactltnexpnm1ngt3.ml │ ├── induction-sumkexp3eqsumksqsq.ml │ ├── mathb-algebra-44.ml │ ├── mathd-algebra-107.ml │ ├── mathd-algebra-113.ml │ ├── mathd-algebra-114.ml │ ├── mathd-algebra-125.ml │ ├── mathd-algebra-129.ml │ ├── mathd-algebra-137.ml │ ├── mathd-algebra-139.ml │ ├── mathd-algebra-141.ml │ ├── mathd-algebra-142.ml │ ├── mathd-algebra-143.ml │ ├── mathd-algebra-148.ml │ ├── mathd-algebra-153.ml │ ├── mathd-algebra-156.ml │ ├── mathd-algebra-158.ml │ ├── mathd-algebra-160.ml │ ├── mathd-algebra-17.ml │ ├── mathd-algebra-170.ml │ ├── mathd-algebra-171.ml │ ├── mathd-algebra-176.ml │ ├── mathd-algebra-184.ml │ ├── mathd-algebra-196.ml │ ├── mathd-algebra-208.ml │ ├── mathd-algebra-215.ml │ ├── mathd-algebra-24.ml │ ├── mathd-algebra-246.ml │ ├── mathd-algebra-263.ml │ ├── mathd-algebra-270.ml │ ├── mathd-algebra-275.ml │ ├── mathd-algebra-276.ml │ ├── mathd-algebra-288.ml │ ├── mathd-algebra-289.ml │ ├── mathd-algebra-293.ml │ ├── mathd-algebra-296.ml │ ├── mathd-algebra-302.ml │ ├── mathd-algebra-304.ml │ ├── mathd-algebra-313.ml │ ├── mathd-algebra-314.ml │ ├── mathd-algebra-320.ml │ ├── mathd-algebra-329.ml │ ├── mathd-algebra-33.ml │ ├── mathd-algebra-332.ml │ ├── mathd-algebra-338.ml │ ├── mathd-algebra-342.ml │ ├── mathd-algebra-346.ml │ ├── mathd-algebra-354.ml │ ├── mathd-algebra-362.ml │ ├── mathd-algebra-388.ml │ ├── mathd-algebra-392.ml │ ├── mathd-algebra-398.ml │ ├── mathd-algebra-400.ml │ ├── mathd-algebra-412.ml │ ├── mathd-algebra-419.ml │ ├── mathd-algebra-427.ml │ ├── mathd-algebra-432.ml │ ├── mathd-algebra-440.ml │ ├── mathd-algebra-478.ml │ ├── mathd-algebra-484.ml │ ├── mathd-algebra-487.ml │ ├── mathd-algebra-513.ml │ ├── mathd-algebra-76.ml │ ├── mathd-algebra-80.ml │ ├── mathd-numbertheory-100.ml │ ├── mathd-numbertheory-127.ml │ ├── mathd-numbertheory-135.ml │ ├── mathd-numbertheory-150.ml │ ├── mathd-numbertheory-175.ml │ ├── mathd-numbertheory-185.ml │ ├── mathd-numbertheory-207.ml │ ├── mathd-numbertheory-212.ml │ ├── mathd-numbertheory-222.ml │ ├── mathd-numbertheory-227.ml │ ├── mathd-numbertheory-229.ml │ ├── mathd-numbertheory-233.ml │ ├── mathd-numbertheory-234.ml │ ├── mathd-numbertheory-235.ml │ ├── mathd-numbertheory-237.ml │ ├── mathd-numbertheory-247.ml │ ├── mathd-numbertheory-254.ml │ ├── mathd-numbertheory-277.ml │ ├── mathd-numbertheory-299.ml │ ├── mathd-numbertheory-3.ml │ ├── mathd-numbertheory-321.ml │ ├── mathd-numbertheory-328.ml │ ├── mathd-numbertheory-34.ml │ ├── mathd-numbertheory-341.ml │ ├── mathd-numbertheory-342.ml │ ├── mathd-numbertheory-345.ml │ ├── mathd-numbertheory-427.ml │ ├── mathd-numbertheory-447.ml │ ├── mathd-numbertheory-451.ml │ ├── mathd-numbertheory-495.ml │ ├── mathd-numbertheory-551.ml │ ├── mathd-numbertheory-552.ml │ ├── mathd-numbertheory-618.ml │ ├── mathd-numbertheory-66.ml │ ├── mathd-numbertheory-85.ml │ ├── mathd-numbertheory-99.ml │ ├── numbertheory-aoddbdiv4asqpbsqmod8eq1.ml │ ├── numbertheory-notequiv2i2jasqbsqdiv8.ml │ └── others-chickenmcnuggets.ml └── valid │ ├── aime-1983-p9.ml │ ├── aime-1984-p15.ml │ ├── aime-1984-p5.ml │ ├── algebra-2complexrootspoly-xsqp49eqxp7itxpn7i.ml │ ├── algebra-2rootsintpoly-am10tap11eqasqpam110.ml │ ├── algebra-2rootspoly-apatapbeq2asqp2ab.ml │ ├── algebra-2varlineareq-xpeeq7-2xpeeq3-eeq11-xeqn4.ml │ ├── algebra-3rootspoly-amdtamctambeqnasqmbpctapcbtdpasqmbpctapcbta.ml │ ├── algebra-amgm-faxinrrp2msqrt2geq2mxm1div2x.ml │ ├── algebra-amgm-prod1toneq1-sum1tongeqn.ml │ ├── algebra-amgm-sqrtxymulxmyeqxpy-xpygeq4.ml │ ├── algebra-amgm-sumasqdivbsqgeqsumbdiva.ml │ ├── algebra-binomnegdiscrineq-10alt28asqp1.ml │ ├── algebra-manipexpr-2erprsqpesqeqnrpnesq.ml │ ├── algebra-manipexpr-apbeq2cceqiacpbceqm2.ml │ ├── algebra-sqineq-2at2pclta2c2p41pc.ml │ ├── algebra-sqineq-2unitcircatblt1.ml │ ├── algebra-sqineq-36azm9asqle36zsq.ml │ ├── algebra-sqineq-4bap1lt4bsqpap1sq.ml │ ├── amc12-2000-p11.ml │ ├── amc12-2000-p15.ml │ ├── amc12-2000-p5.ml │ ├── amc12-2001-p2.ml │ ├── amc12-2001-p9.ml │ ├── amc12a-2002-p1.ml │ ├── amc12a-2002-p12.ml │ ├── amc12a-2002-p21.ml │ ├── amc12a-2003-p1.ml │ ├── amc12a-2003-p24.ml │ ├── amc12a-2003-p25.ml │ ├── amc12a-2020-p13.ml │ ├── amc12a-2020-p21.ml │ ├── amc12a-2021-p7.ml │ ├── amc12b-2002-p11.ml │ ├── amc12b-2002-p3.ml │ ├── amc12b-2002-p6.ml │ ├── amc12b-2003-p17.ml │ ├── amc12b-2003-p6.ml │ ├── amc12b-2003-p9.ml │ ├── amc12b-2004-p3.ml │ ├── amc12b-2020-p5.ml │ ├── amc12b-2021-p21.ml │ ├── imo-1990-p3.ml │ ├── imo-2006-p3.ml │ ├── induction-divisibility-3div2tooddnp1.ml │ ├── induction-divisibility-3divnto3m2n.ml │ ├── induction-divisibility-9div10tonm1.ml │ ├── induction-ineq-nsqlefactn.ml │ ├── induction-seq-mul2pnp1.ml │ ├── induction-sum-1oktkp1.ml │ ├── induction-sum-odd.ml │ ├── induction-sum2kp1npqsqm1.ml │ ├── mathd-algebra-10.ml │ ├── mathd-algebra-101.ml │ ├── mathd-algebra-104.ml │ ├── mathd-algebra-109.ml │ ├── mathd-algebra-11.ml │ ├── mathd-algebra-110.ml │ ├── mathd-algebra-116.ml │ ├── mathd-algebra-119.ml │ ├── mathd-algebra-123.ml │ ├── mathd-algebra-126.ml │ ├── mathd-algebra-13.ml │ ├── mathd-algebra-131.ml │ ├── mathd-algebra-132.ml │ ├── mathd-algebra-140.ml │ ├── mathd-algebra-144.ml │ ├── mathd-algebra-149.ml │ ├── mathd-algebra-15.ml │ ├── mathd-algebra-151.ml │ ├── mathd-algebra-159.ml │ ├── mathd-algebra-181.ml │ ├── mathd-algebra-182.ml │ ├── mathd-algebra-185.ml │ ├── mathd-algebra-190.ml │ ├── mathd-algebra-192.ml │ ├── mathd-algebra-206.ml │ ├── mathd-algebra-214.ml │ ├── mathd-algebra-22.ml │ ├── mathd-algebra-224.ml │ ├── mathd-algebra-234.ml │ ├── mathd-algebra-245.ml │ ├── mathd-algebra-247.ml │ ├── mathd-algebra-251.ml │ ├── mathd-algebra-267.ml │ ├── mathd-algebra-28.ml │ ├── mathd-algebra-282.ml │ ├── mathd-algebra-327.ml │ ├── mathd-algebra-35.ml │ ├── mathd-algebra-37.ml │ ├── mathd-algebra-421.ml │ ├── mathd-algebra-43.ml │ ├── mathd-algebra-455.ml │ ├── mathd-algebra-48.ml │ ├── mathd-algebra-51.ml │ ├── mathd-algebra-55.ml │ ├── mathd-algebra-59.ml │ ├── mathd-algebra-67.ml │ ├── mathd-algebra-69.ml │ ├── mathd-algebra-73.ml │ ├── mathd-algebra-77.ml │ ├── mathd-algebra-89.ml │ ├── mathd-algebra-96.ml │ ├── mathd-numbertheory-101.ml │ ├── mathd-numbertheory-102.ml │ ├── mathd-numbertheory-109.ml │ ├── mathd-numbertheory-110.ml │ ├── mathd-numbertheory-126.ml │ ├── mathd-numbertheory-13.ml │ ├── mathd-numbertheory-132.ml │ ├── mathd-numbertheory-133.ml │ ├── mathd-numbertheory-136.ml │ ├── mathd-numbertheory-149.ml │ ├── mathd-numbertheory-155.ml │ ├── mathd-numbertheory-156.ml │ ├── mathd-numbertheory-169.ml │ ├── mathd-numbertheory-198.ml │ ├── mathd-numbertheory-200.ml │ ├── mathd-numbertheory-202.ml │ ├── mathd-numbertheory-211.ml │ ├── mathd-numbertheory-22.ml │ ├── mathd-numbertheory-221.ml │ ├── mathd-numbertheory-232.ml │ ├── mathd-numbertheory-236.ml │ ├── mathd-numbertheory-24.ml │ ├── mathd-numbertheory-252.ml │ ├── mathd-numbertheory-257.ml │ ├── mathd-numbertheory-284.ml │ ├── mathd-numbertheory-30.ml │ ├── mathd-numbertheory-301.ml │ ├── mathd-numbertheory-303.ml │ ├── mathd-numbertheory-32.ml │ ├── mathd-numbertheory-326.ml │ ├── mathd-numbertheory-33.ml │ ├── mathd-numbertheory-335.ml │ ├── mathd-numbertheory-35.ml │ ├── mathd-numbertheory-37.ml │ ├── mathd-numbertheory-370.ml │ ├── mathd-numbertheory-403.ml │ ├── mathd-numbertheory-405.ml │ ├── mathd-numbertheory-412.ml │ ├── mathd-numbertheory-42.ml │ ├── mathd-numbertheory-43.ml │ ├── mathd-numbertheory-45.ml │ ├── mathd-numbertheory-458.ml │ ├── mathd-numbertheory-466.ml │ ├── mathd-numbertheory-48.ml │ ├── mathd-numbertheory-530.ml │ ├── mathd-numbertheory-629.ml │ ├── mathd-numbertheory-64.ml │ ├── mathd-numbertheory-640.ml │ ├── mathd-numbertheory-668.ml │ ├── mathd-numbertheory-690.ml │ ├── mathd-numbertheory-709.ml │ ├── mathd-numbertheory-739.ml │ ├── mathd-numbertheory-81.ml │ ├── mathd-numbertheory-84.ml │ ├── mathd-numbertheory-92.ml │ ├── numbertheory-2dvd4expn.ml │ ├── numbertheory-prmdvsneqnsqmodpeq0.ml │ ├── numbertheory-sqmod3in01d.ml │ ├── numbertheory-sqmod4in01d.ml │ └── numbertheory-xsqpysqintdenomeq.ml ├── informal ├── test │ ├── aime_1983_p1.json │ ├── aime_1983_p2.json │ ├── aime_1983_p3.json │ ├── aime_1984_p1.json │ ├── aime_1984_p7.json │ ├── aime_1987_p5.json │ ├── aime_1988_p8.json │ ├── aime_1989_p8.json │ ├── aime_1990_p15.json │ ├── aime_1990_p4.json │ ├── aime_1991_p9.json │ ├── aime_1994_p3.json │ ├── aime_1995_p7.json │ ├── aime_1997_p9.json │ ├── aime_1999_p11.json │ ├── algebra_2varlineareq_fp3zeq11_3tfm1m5zeqn68_feqn10_zeq7.json │ ├── algebra_9onxpypzleqsum2onxpy.json │ ├── algebra_abpbcpcageq3_sumaonsqrtapbgeq3onsqrt2.json │ ├── algebra_absapbon1pabsapbleqsumabsaon1pabsa.json │ ├── algebra_absxm1pabsxpabsxp1eqxp2_0leqxleq1.json │ ├── algebra_amgm_sum1toneqn_prod1tonleq1.json │ ├── algebra_amgm_sumasqdivbgeqsuma.json │ ├── algebra_apbmpcneq0_aeq0anbeq0anceq0.json │ ├── algebra_apbon2pownleqapownpbpowon2.json │ ├── algebra_apbpceq2_abpbcpcaeq1_aleq1on3anbleq1ancleq4on3.json │ ├── algebra_bleqa_apbon2msqrtableqambsqon8b.json │ ├── algebra_cubrtrp1oncubrtreq3_rcubp1onrcubeq5778.json │ ├── algebra_ineq_nto1onlt2m1on.json │ ├── algebra_others_exirrpowirrrat.json │ ├── algebra_sqineq_at2malt1.json │ ├── algebra_sqineq_unitcircatbpabsamblt1.json │ ├── algebra_sqineq_unitcircatbpamblt1.json │ ├── algebra_sum1onsqrt2to1onsqrt10000lt198.json │ ├── amc12_2000_p1.json │ ├── amc12_2000_p12.json │ ├── amc12_2000_p20.json │ ├── amc12_2000_p6.json │ ├── amc12_2001_p21.json │ ├── amc12_2001_p5.json │ ├── amc12a_2002_p13.json │ ├── amc12a_2002_p6.json │ ├── amc12a_2003_p23.json │ ├── amc12a_2003_p5.json │ ├── amc12a_2008_p25.json │ ├── amc12a_2009_p6.json │ ├── amc12a_2009_p7.json │ ├── amc12a_2013_p4.json │ ├── amc12a_2019_p12.json │ ├── amc12a_2020_p10.json │ ├── amc12a_2020_p15.json │ ├── amc12a_2020_p25.json │ ├── amc12a_2020_p4.json │ ├── amc12a_2020_p7.json │ ├── amc12a_2020_p9.json │ ├── amc12a_2021_p12.json │ ├── amc12a_2021_p14.json │ ├── amc12a_2021_p18.json │ ├── amc12a_2021_p19.json │ ├── amc12a_2021_p22.json │ ├── amc12a_2021_p25.json │ ├── amc12a_2021_p3.json │ ├── amc12a_2021_p8.json │ ├── amc12a_2021_p9.json │ ├── amc12b_2002_p19.json │ ├── amc12b_2002_p2.json │ ├── amc12b_2002_p4.json │ ├── amc12b_2002_p7.json │ ├── amc12b_2020_p13.json │ ├── amc12b_2020_p2.json │ ├── amc12b_2020_p21.json │ ├── amc12b_2020_p22.json │ ├── amc12b_2020_p6.json │ ├── amc12b_2021_p1.json │ ├── amc12b_2021_p13.json │ ├── amc12b_2021_p18.json │ ├── amc12b_2021_p3.json │ ├── amc12b_2021_p4.json │ ├── amc12b_2021_p9.json │ ├── imo_1959_p1.json │ ├── imo_1960_p2.json │ ├── imo_1962_p2.json │ ├── imo_1963_p5.json │ ├── imo_1964_p2.json │ ├── imo_1965_p2.json │ ├── imo_1968_p5_1.json │ ├── imo_1969_p2.json │ ├── imo_1974_p3.json │ ├── imo_1977_p6.json │ ├── imo_1981_p6.json │ ├── imo_1982_p1.json │ ├── imo_1983_p6.json │ ├── imo_1984_p6.json │ ├── imo_1985_p6.json │ ├── imo_1992_p1.json │ ├── imo_1997_p5.json │ ├── imo_2001_p6.json │ ├── imo_2019_p1.json │ ├── imosl_2007_algebra_p6.json │ ├── induction_11div10tonmn1ton.json │ ├── induction_12dvd4expnp1p20.json │ ├── induction_1pxpownlt1pnx.json │ ├── induction_nfactltnexpnm1ngt3.json │ ├── induction_pord1p1on2powklt5on2.json │ ├── induction_pprime_pdvdapowpma.json │ ├── induction_prod1p1onk3le3m1onn.json │ ├── induction_sumkexp3eqsumksq.json │ ├── mathd_algebra_107.json │ ├── mathd_algebra_113.json │ ├── mathd_algebra_114.json │ ├── mathd_algebra_125.json │ ├── mathd_algebra_129.json │ ├── mathd_algebra_137.json │ ├── mathd_algebra_139.json │ ├── mathd_algebra_141.json │ ├── mathd_algebra_142.json │ ├── mathd_algebra_143.json │ ├── mathd_algebra_148.json │ ├── mathd_algebra_153.json │ ├── mathd_algebra_156.json │ ├── mathd_algebra_158.json │ ├── mathd_algebra_160.json │ ├── mathd_algebra_17.json │ ├── mathd_algebra_170.json │ ├── mathd_algebra_171.json │ ├── mathd_algebra_176.json │ ├── mathd_algebra_184.json │ ├── mathd_algebra_188.json │ ├── mathd_algebra_196.json │ ├── mathd_algebra_208.json │ ├── mathd_algebra_209.json │ ├── mathd_algebra_215.json │ ├── mathd_algebra_24.json │ ├── mathd_algebra_246.json │ ├── mathd_algebra_263.json │ ├── mathd_algebra_270.json │ ├── mathd_algebra_275.json │ ├── mathd_algebra_276.json │ ├── mathd_algebra_288.json │ ├── mathd_algebra_289.json │ ├── mathd_algebra_293.json │ ├── mathd_algebra_296.json │ ├── mathd_algebra_302.json │ ├── mathd_algebra_304.json │ ├── mathd_algebra_313.json │ ├── mathd_algebra_314.json │ ├── mathd_algebra_320.json │ ├── mathd_algebra_329.json │ ├── mathd_algebra_33.json │ ├── mathd_algebra_332.json │ ├── mathd_algebra_338.json │ ├── mathd_algebra_342.json │ ├── mathd_algebra_346.json │ ├── mathd_algebra_354.json │ ├── mathd_algebra_359.json │ ├── mathd_algebra_362.json │ ├── mathd_algebra_388.json │ ├── mathd_algebra_392.json │ ├── mathd_algebra_398.json │ ├── mathd_algebra_400.json │ ├── mathd_algebra_412.json │ ├── mathd_algebra_419.json │ ├── mathd_algebra_427.json │ ├── mathd_algebra_432.json │ ├── mathd_algebra_44.json │ ├── mathd_algebra_440.json │ ├── mathd_algebra_441.json │ ├── mathd_algebra_452.json │ ├── mathd_algebra_459.json │ ├── mathd_algebra_478.json │ ├── mathd_algebra_484.json │ ├── mathd_algebra_487.json │ ├── mathd_algebra_513.json │ ├── mathd_algebra_598.json │ ├── mathd_algebra_756.json │ ├── mathd_algebra_76.json │ ├── mathd_algebra_80.json │ ├── mathd_numbertheory_100.json │ ├── mathd_numbertheory_1124.json │ ├── mathd_numbertheory_12.json │ ├── mathd_numbertheory_127.json │ ├── mathd_numbertheory_135.json │ ├── mathd_numbertheory_150.json │ ├── mathd_numbertheory_175.json │ ├── mathd_numbertheory_185.json │ ├── mathd_numbertheory_207.json │ ├── mathd_numbertheory_212.json │ ├── mathd_numbertheory_222.json │ ├── mathd_numbertheory_227.json │ ├── mathd_numbertheory_229.json │ ├── mathd_numbertheory_233.json │ ├── mathd_numbertheory_234.json │ ├── mathd_numbertheory_235.json │ ├── mathd_numbertheory_237.json │ ├── mathd_numbertheory_239.json │ ├── mathd_numbertheory_247.json │ ├── mathd_numbertheory_254.json │ ├── mathd_numbertheory_277.json │ ├── mathd_numbertheory_293.json │ ├── mathd_numbertheory_296.json │ ├── mathd_numbertheory_299.json │ ├── mathd_numbertheory_3.json │ ├── mathd_numbertheory_314.json │ ├── mathd_numbertheory_320.json │ ├── mathd_numbertheory_321.json │ ├── mathd_numbertheory_328.json │ ├── mathd_numbertheory_34.json │ ├── mathd_numbertheory_341.json │ ├── mathd_numbertheory_342.json │ ├── mathd_numbertheory_343.json │ ├── mathd_numbertheory_345.json │ ├── mathd_numbertheory_353.json │ ├── mathd_numbertheory_427.json │ ├── mathd_numbertheory_430.json │ ├── mathd_numbertheory_435.json │ ├── mathd_numbertheory_447.json │ ├── mathd_numbertheory_451.json │ ├── mathd_numbertheory_457.json │ ├── mathd_numbertheory_483.json │ ├── mathd_numbertheory_495.json │ ├── mathd_numbertheory_5.json │ ├── mathd_numbertheory_517.json │ ├── mathd_numbertheory_521.json │ ├── mathd_numbertheory_541.json │ ├── mathd_numbertheory_551.json │ ├── mathd_numbertheory_552.json │ ├── mathd_numbertheory_559.json │ ├── mathd_numbertheory_582.json │ ├── mathd_numbertheory_618.json │ ├── mathd_numbertheory_66.json │ ├── mathd_numbertheory_711.json │ ├── mathd_numbertheory_728.json │ ├── mathd_numbertheory_764.json │ ├── mathd_numbertheory_765.json │ ├── mathd_numbertheory_769.json │ ├── mathd_numbertheory_85.json │ ├── mathd_numbertheory_99.json │ ├── numbertheory_2pownm1prime_nprime.json │ ├── numbertheory_3pow2pownm1mod2pownp3eq2pownp2.json │ ├── numbertheory_4x3m7y3neq2003.json │ ├── numbertheory_aoddbdiv4asqpbsqmod8eq1.json │ ├── numbertheory_exk2powkeqapb2mulbpa2_aeq1.json │ ├── numbertheory_fxeq4powxp6powxp9powx_f2powmdvdf2pown.json │ ├── numbertheory_notequiv2i2jasqbsqdiv8.json │ └── numbertheory_x5neqy2p4.json └── valid │ ├── aimeII_2001_p3.json │ ├── aimeII_2020_p6.json │ ├── aimeI_2000_p7.json │ ├── aime_1983_p9.json │ ├── aime_1984_p15.json │ ├── aime_1984_p5.json │ ├── aime_1987_p8.json │ ├── aime_1988_p3.json │ ├── aime_1988_p4.json │ ├── aime_1990_p2.json │ ├── aime_1991_p1.json │ ├── aime_1991_p6.json │ ├── aime_1994_p4.json │ ├── aime_1996_p5.json │ ├── aime_1997_p11.json │ ├── algebra_2complexrootspoly_xsqp49eqxp7itxpn7i.json │ ├── algebra_2rootsintpoly_am10tap11eqasqpam110.json │ ├── algebra_2rootspoly_apatapbeq2asqp2ab.json │ ├── algebra_2varlineareq_xpeeq7_2xpeeq3_eeq11_xeqn4.json │ ├── algebra_3rootspoly_amdtamctambeqnasqmbpctapcbtdpasqmbpctapcbta.json │ ├── algebra_amgm_faxinrrp2msqrt2geq2mxm1div2x.json │ ├── algebra_amgm_prod1toneq1_sum1tongeqn.json │ ├── algebra_amgm_sqrtxymulxmyeqxpy_xpygeq4.json │ ├── algebra_amgm_sumasqdivbsqgeqsumbdiva.json │ ├── algebra_apb4leq8ta4pb4.json │ ├── algebra_binomnegdiscrineq_10alt28asqp1.json │ ├── algebra_manipexpr_2erprsqpesqeqnrpnesq.json │ ├── algebra_manipexpr_apbeq2cceqiacpbceqm2.json │ ├── algebra_sqineq_2at2pclta2c2p41pc.json │ ├── algebra_sqineq_2unitcircatblt1.json │ ├── algebra_sqineq_36azm9asqle36zsq.json │ ├── algebra_sqineq_4bap1lt4bsqpap1sq.json │ ├── algebra_xmysqpymzsqpzmxsqeqxyz_xpypzp6dvdx3y3z3.json │ ├── amc12_2000_p11.json │ ├── amc12_2000_p15.json │ ├── amc12_2000_p5.json │ ├── amc12_2001_p2.json │ ├── amc12_2001_p9.json │ ├── amc12a_2002_p1.json │ ├── amc12a_2002_p12.json │ ├── amc12a_2002_p21.json │ ├── amc12a_2003_p1.json │ ├── amc12a_2003_p24.json │ ├── amc12a_2003_p25.json │ ├── amc12a_2008_p15.json │ ├── amc12a_2008_p2.json │ ├── amc12a_2008_p4.json │ ├── amc12a_2008_p8.json │ ├── amc12a_2009_p15.json │ ├── amc12a_2009_p2.json │ ├── amc12a_2009_p25.json │ ├── amc12a_2009_p5.json │ ├── amc12a_2009_p9.json │ ├── amc12a_2010_p10.json │ ├── amc12a_2010_p11.json │ ├── amc12a_2010_p22.json │ ├── amc12a_2011_p18.json │ ├── amc12a_2013_p7.json │ ├── amc12a_2013_p8.json │ ├── amc12a_2015_p10.json │ ├── amc12a_2016_p2.json │ ├── amc12a_2016_p3.json │ ├── amc12a_2017_p2.json │ ├── amc12a_2017_p7.json │ ├── amc12a_2019_p21.json │ ├── amc12a_2019_p9.json │ ├── amc12a_2020_p13.json │ ├── amc12a_2020_p21.json │ ├── amc12a_2021_p7.json │ ├── amc12b_2002_p11.json │ ├── amc12b_2002_p3.json │ ├── amc12b_2002_p6.json │ ├── amc12b_2003_p17.json │ ├── amc12b_2003_p6.json │ ├── amc12b_2003_p9.json │ ├── amc12b_2004_p3.json │ ├── amc12b_2020_p5.json │ ├── amc12b_2021_p21.json │ ├── imo_1961_p1.json │ ├── imo_1962_p4.json │ ├── imo_1964_p1_1.json │ ├── imo_1964_p1_2.json │ ├── imo_1965_p1.json │ ├── imo_1966_p4.json │ ├── imo_1966_p5.json │ ├── imo_1967_p3.json │ ├── imo_1973_p3.json │ ├── imo_1974_p5.json │ ├── imo_1977_p5.json │ ├── imo_1978_p5.json │ ├── imo_1979_p1.json │ ├── imo_1984_p2.json │ ├── imo_1987_p4.json │ ├── imo_1987_p6.json │ ├── imo_1988_p6.json │ ├── imo_1990_p3.json │ ├── imo_1993_p5.json │ ├── imo_2006_p3.json │ ├── induction_divisibility_3div2tooddnp1.json │ ├── induction_divisibility_3divnto3m2n.json │ ├── induction_divisibility_9div10tonm1.json │ ├── induction_ineq_nsqlefactn.json │ ├── induction_seq_mul2pnp1.json │ ├── induction_sum2kp1npqsqm1.json │ ├── induction_sum_1oktkp1.json │ ├── induction_sum_odd.json │ ├── mathd_algebra_10.json │ ├── mathd_algebra_101.json │ ├── mathd_algebra_104.json │ ├── mathd_algebra_109.json │ ├── mathd_algebra_11.json │ ├── mathd_algebra_110.json │ ├── mathd_algebra_116.json │ ├── mathd_algebra_119.json │ ├── mathd_algebra_123.json │ ├── mathd_algebra_126.json │ ├── mathd_algebra_13.json │ ├── mathd_algebra_131.json │ ├── mathd_algebra_132.json │ ├── mathd_algebra_140.json │ ├── mathd_algebra_144.json │ ├── mathd_algebra_149.json │ ├── mathd_algebra_15.json │ ├── mathd_algebra_151.json │ ├── mathd_algebra_159.json │ ├── mathd_algebra_181.json │ ├── mathd_algebra_182.json │ ├── mathd_algebra_185.json │ ├── mathd_algebra_190.json │ ├── mathd_algebra_192.json │ ├── mathd_algebra_206.json │ ├── mathd_algebra_214.json │ ├── mathd_algebra_22.json │ ├── mathd_algebra_224.json │ ├── mathd_algebra_234.json │ ├── mathd_algebra_245.json │ ├── mathd_algebra_247.json │ ├── mathd_algebra_251.json │ ├── mathd_algebra_267.json │ ├── mathd_algebra_28.json │ ├── mathd_algebra_282.json │ ├── mathd_algebra_31.json │ ├── mathd_algebra_323.json │ ├── mathd_algebra_327.json │ ├── mathd_algebra_35.json │ ├── mathd_algebra_37.json │ ├── mathd_algebra_393.json │ ├── mathd_algebra_405.json │ ├── mathd_algebra_410.json │ ├── mathd_algebra_421.json │ ├── mathd_algebra_422.json │ ├── mathd_algebra_43.json │ ├── mathd_algebra_433.json │ ├── mathd_algebra_437.json │ ├── mathd_algebra_451.json │ ├── mathd_algebra_455.json │ ├── mathd_algebra_462.json │ ├── mathd_algebra_48.json │ ├── mathd_algebra_480.json │ ├── mathd_algebra_482.json │ ├── mathd_algebra_493.json │ ├── mathd_algebra_509.json │ ├── mathd_algebra_51.json │ ├── mathd_algebra_510.json │ ├── mathd_algebra_536.json │ ├── mathd_algebra_547.json │ ├── mathd_algebra_55.json │ ├── mathd_algebra_568.json │ ├── mathd_algebra_59.json │ ├── mathd_algebra_616.json │ ├── mathd_algebra_67.json │ ├── mathd_algebra_69.json │ ├── mathd_algebra_73.json │ ├── mathd_algebra_77.json │ ├── mathd_algebra_89.json │ ├── mathd_algebra_96.json │ ├── mathd_numbertheory_101.json │ ├── mathd_numbertheory_102.json │ ├── mathd_numbertheory_109.json │ ├── mathd_numbertheory_110.json │ ├── mathd_numbertheory_126.json │ ├── mathd_numbertheory_13.json │ ├── mathd_numbertheory_132.json │ ├── mathd_numbertheory_136.json │ ├── mathd_numbertheory_149.json │ ├── mathd_numbertheory_155.json │ ├── mathd_numbertheory_156.json │ ├── mathd_numbertheory_169.json │ ├── mathd_numbertheory_188.json │ ├── mathd_numbertheory_198.json │ ├── mathd_numbertheory_200.json │ ├── mathd_numbertheory_202.json │ ├── mathd_numbertheory_211.json │ ├── mathd_numbertheory_22.json │ ├── mathd_numbertheory_221.json │ ├── mathd_numbertheory_232.json │ ├── mathd_numbertheory_236.json │ ├── mathd_numbertheory_24.json │ ├── mathd_numbertheory_252.json │ ├── mathd_numbertheory_257.json │ ├── mathd_numbertheory_269.json │ ├── mathd_numbertheory_284.json │ ├── mathd_numbertheory_30.json │ ├── mathd_numbertheory_301.json │ ├── mathd_numbertheory_303.json │ ├── mathd_numbertheory_32.json │ ├── mathd_numbertheory_326.json │ ├── mathd_numbertheory_33.json │ ├── mathd_numbertheory_335.json │ ├── mathd_numbertheory_35.json │ ├── mathd_numbertheory_37.json │ ├── mathd_numbertheory_370.json │ ├── mathd_numbertheory_403.json │ ├── mathd_numbertheory_405.json │ ├── mathd_numbertheory_412.json │ ├── mathd_numbertheory_42.json │ ├── mathd_numbertheory_43.json │ ├── mathd_numbertheory_45.json │ ├── mathd_numbertheory_458.json │ ├── mathd_numbertheory_461.json │ ├── mathd_numbertheory_466.json │ ├── mathd_numbertheory_48.json │ ├── mathd_numbertheory_530.json │ ├── mathd_numbertheory_543.json │ ├── mathd_numbertheory_629.json │ ├── mathd_numbertheory_64.json │ ├── mathd_numbertheory_640.json │ ├── mathd_numbertheory_668.json │ ├── mathd_numbertheory_690.json │ ├── mathd_numbertheory_709.json │ ├── mathd_numbertheory_739.json │ ├── mathd_numbertheory_780.json │ ├── mathd_numbertheory_81.json │ ├── mathd_numbertheory_84.json │ ├── mathd_numbertheory_92.json │ ├── mathd_numbertheory_961.json │ ├── numbertheory_2dvd4expn.json │ ├── numbertheory_aneqprodakp4_anmsqrtanp1eq2.json │ ├── numbertheory_nckeqnm1ckpnm1ckm1.json │ ├── numbertheory_prmdvsneqnsqmodpeq0.json │ ├── numbertheory_sqmod3in01d.json │ ├── numbertheory_sqmod4in01d.json │ ├── numbertheory_sumkmulnckeqnmul2pownm1.json │ └── numbertheory_xsqpysqintdenomeq.json ├── isabelle ├── LICENSE ├── test │ ├── aime_1983_p1.thy │ ├── aime_1983_p2.thy │ ├── aime_1983_p3.thy │ ├── aime_1984_p1.thy │ ├── aime_1984_p7.thy │ ├── aime_1987_p5.thy │ ├── aime_1988_p8.thy │ ├── aime_1989_p8.thy │ ├── aime_1990_p15.thy │ ├── aime_1990_p4.thy │ ├── aime_1991_p9.thy │ ├── aime_1994_p3.thy │ ├── aime_1995_p7.thy │ ├── aime_1997_p9.thy │ ├── aime_1999_p11.thy │ ├── algebra_2varlineareq_fp3zeq11_3tfm1m5zeqn68_feqn10_zeq7.thy │ ├── algebra_9onxpypzleqsum2onxpy.thy │ ├── algebra_abpbcpcageq3_sumaonsqrtapbgeq3onsqrt2.thy │ ├── algebra_absapbon1pabsapbleqsumabsaon1pabsa.thy │ ├── algebra_absxm1pabsxpabsxp1eqxp2_0leqxleq1.thy │ ├── algebra_amgm_sum1toneqn_prod1tonleq1.thy │ ├── algebra_amgm_sumasqdivbgeqsuma.thy │ ├── algebra_apbmpcneq0_aeq0anbeq0anceq0.thy │ ├── algebra_apbon2pownleqapownpbpowon2.thy │ ├── algebra_apbpceq2_abpbcpcaeq1_aleq1on3anbleq1ancleq4on3.thy │ ├── algebra_bleqa_apbon2msqrtableqambsqon8b.thy │ ├── algebra_cubrtrp1oncubrtreq3_rcubp1onrcubeq5778.thy │ ├── algebra_ineq_nto1onlt2m1on.thy │ ├── algebra_others_exirrpowirrrat.thy │ ├── algebra_sqineq_at2malt1.thy │ ├── algebra_sqineq_unitcircatbpabsamblt1.thy │ ├── algebra_sqineq_unitcircatbpamblt1.thy │ ├── algebra_sum1onsqrt2to1onsqrt10000lt198.thy │ ├── amc12_2000_p1.thy │ ├── amc12_2000_p12.thy │ ├── amc12_2000_p20.thy │ ├── amc12_2000_p6.thy │ ├── amc12_2001_p21.thy │ ├── amc12_2001_p5.thy │ ├── amc12a_2002_p13.thy │ ├── amc12a_2002_p6.thy │ ├── amc12a_2003_p23.thy │ ├── amc12a_2003_p5.thy │ ├── amc12a_2008_p25.thy │ ├── amc12a_2009_p6.thy │ ├── amc12a_2009_p7.thy │ ├── amc12a_2013_p4.thy │ ├── amc12a_2019_p12.thy │ ├── amc12a_2020_p10.thy │ ├── amc12a_2020_p15.thy │ ├── amc12a_2020_p25.thy │ ├── amc12a_2020_p4.thy │ ├── amc12a_2020_p7.thy │ ├── amc12a_2020_p9.thy │ ├── amc12a_2021_p12.thy │ ├── amc12a_2021_p14.thy │ ├── amc12a_2021_p18.thy │ ├── amc12a_2021_p19.thy │ ├── amc12a_2021_p22.thy │ ├── amc12a_2021_p25.thy │ ├── amc12a_2021_p3.thy │ ├── amc12a_2021_p8.thy │ ├── amc12a_2021_p9.thy │ ├── amc12b_2002_p19.thy │ ├── amc12b_2002_p2.thy │ ├── amc12b_2002_p4.thy │ ├── amc12b_2002_p7.thy │ ├── amc12b_2020_p13.thy │ ├── amc12b_2020_p2.thy │ ├── amc12b_2020_p21.thy │ ├── amc12b_2020_p22.thy │ ├── amc12b_2020_p6.thy │ ├── amc12b_2021_p1.thy │ ├── amc12b_2021_p13.thy │ ├── amc12b_2021_p18.thy │ ├── amc12b_2021_p3.thy │ ├── amc12b_2021_p4.thy │ ├── amc12b_2021_p9.thy │ ├── imo_1959_p1.thy │ ├── imo_1960_p2.thy │ ├── imo_1962_p2.thy │ ├── imo_1963_p5.thy │ ├── imo_1964_p2.thy │ ├── imo_1965_p2.thy │ ├── imo_1968_p5_1.thy │ ├── imo_1969_p2.thy │ ├── imo_1974_p3.thy │ ├── imo_1977_p6.thy │ ├── imo_1981_p6.thy │ ├── imo_1982_p1.thy │ ├── imo_1983_p6.thy │ ├── imo_1984_p6.thy │ ├── imo_1985_p6.thy │ ├── imo_1992_p1.thy │ ├── imo_1997_p5.thy │ ├── imo_2001_p6.thy │ ├── imo_2019_p1.thy │ ├── imosl_2007_algebra_p6.thy │ ├── induction_11div10tonmn1ton.thy │ ├── induction_12dvd4expnp1p20.thy │ ├── induction_1pxpownlt1pnx.thy │ ├── induction_nfactltnexpnm1ngt3.thy │ ├── induction_pord1p1on2powklt5on2.thy │ ├── induction_pprime_pdvdapowpma.thy │ ├── induction_prod1p1onk3le3m1onn.thy │ ├── induction_sumkexp3eqsumksq.thy │ ├── mathd_algebra_107.thy │ ├── mathd_algebra_113.thy │ ├── mathd_algebra_114.thy │ ├── mathd_algebra_125.thy │ ├── mathd_algebra_129.thy │ ├── mathd_algebra_137.thy │ ├── mathd_algebra_139.thy │ ├── mathd_algebra_141.thy │ ├── mathd_algebra_142.thy │ ├── mathd_algebra_143.thy │ ├── mathd_algebra_148.thy │ ├── mathd_algebra_153.thy │ ├── mathd_algebra_156.thy │ ├── mathd_algebra_158.thy │ ├── mathd_algebra_160.thy │ ├── mathd_algebra_17.thy │ ├── mathd_algebra_170.thy │ ├── mathd_algebra_171.thy │ ├── mathd_algebra_176.thy │ ├── mathd_algebra_184.thy │ ├── mathd_algebra_188.thy │ ├── mathd_algebra_196.thy │ ├── mathd_algebra_208.thy │ ├── mathd_algebra_209.thy │ ├── mathd_algebra_215.thy │ ├── mathd_algebra_24.thy │ ├── mathd_algebra_246.thy │ ├── mathd_algebra_263.thy │ ├── mathd_algebra_270.thy │ ├── mathd_algebra_275.thy │ ├── mathd_algebra_276.thy │ ├── mathd_algebra_288.thy │ ├── mathd_algebra_289.thy │ ├── mathd_algebra_293.thy │ ├── mathd_algebra_296.thy │ ├── mathd_algebra_302.thy │ ├── mathd_algebra_304.thy │ ├── mathd_algebra_313.thy │ ├── mathd_algebra_314.thy │ ├── mathd_algebra_320.thy │ ├── mathd_algebra_329.thy │ ├── mathd_algebra_33.thy │ ├── mathd_algebra_332.thy │ ├── mathd_algebra_338.thy │ ├── mathd_algebra_342.thy │ ├── mathd_algebra_346.thy │ ├── mathd_algebra_354.thy │ ├── mathd_algebra_359.thy │ ├── mathd_algebra_362.thy │ ├── mathd_algebra_388.thy │ ├── mathd_algebra_392.thy │ ├── mathd_algebra_398.thy │ ├── mathd_algebra_400.thy │ ├── mathd_algebra_412.thy │ ├── mathd_algebra_419.thy │ ├── mathd_algebra_427.thy │ ├── mathd_algebra_432.thy │ ├── mathd_algebra_44.thy │ ├── mathd_algebra_440.thy │ ├── mathd_algebra_441.thy │ ├── mathd_algebra_452.thy │ ├── mathd_algebra_459.thy │ ├── mathd_algebra_478.thy │ ├── mathd_algebra_484.thy │ ├── mathd_algebra_487.thy │ ├── mathd_algebra_513.thy │ ├── mathd_algebra_598.thy │ ├── mathd_algebra_756.thy │ ├── mathd_algebra_76.thy │ ├── mathd_algebra_80.thy │ ├── mathd_numbertheory_100.thy │ ├── mathd_numbertheory_1124.thy │ ├── mathd_numbertheory_12.thy │ ├── mathd_numbertheory_127.thy │ ├── mathd_numbertheory_135.thy │ ├── mathd_numbertheory_150.thy │ ├── mathd_numbertheory_175.thy │ ├── mathd_numbertheory_185.thy │ ├── mathd_numbertheory_207.thy │ ├── mathd_numbertheory_212.thy │ ├── mathd_numbertheory_222.thy │ ├── mathd_numbertheory_227.thy │ ├── mathd_numbertheory_229.thy │ ├── mathd_numbertheory_233.thy │ ├── mathd_numbertheory_234.thy │ ├── mathd_numbertheory_235.thy │ ├── mathd_numbertheory_237.thy │ ├── mathd_numbertheory_239.thy │ ├── mathd_numbertheory_247.thy │ ├── mathd_numbertheory_254.thy │ ├── mathd_numbertheory_277.thy │ ├── mathd_numbertheory_293.thy │ ├── mathd_numbertheory_296.thy │ ├── mathd_numbertheory_299.thy │ ├── mathd_numbertheory_3.thy │ ├── mathd_numbertheory_314.thy │ ├── mathd_numbertheory_320.thy │ ├── mathd_numbertheory_321.thy │ ├── mathd_numbertheory_328.thy │ ├── mathd_numbertheory_34.thy │ ├── mathd_numbertheory_341.thy │ ├── mathd_numbertheory_342.thy │ ├── mathd_numbertheory_343.thy │ ├── mathd_numbertheory_345.thy │ ├── mathd_numbertheory_353.thy │ ├── mathd_numbertheory_427.thy │ ├── mathd_numbertheory_430.thy │ ├── mathd_numbertheory_435.thy │ ├── mathd_numbertheory_447.thy │ ├── mathd_numbertheory_451.thy │ ├── mathd_numbertheory_457.thy │ ├── mathd_numbertheory_483.thy │ ├── mathd_numbertheory_495.thy │ ├── mathd_numbertheory_5.thy │ ├── mathd_numbertheory_517.thy │ ├── mathd_numbertheory_521.thy │ ├── mathd_numbertheory_541.thy │ ├── mathd_numbertheory_551.thy │ ├── mathd_numbertheory_552.thy │ ├── mathd_numbertheory_559.thy │ ├── mathd_numbertheory_582.thy │ ├── mathd_numbertheory_618.thy │ ├── mathd_numbertheory_66.thy │ ├── mathd_numbertheory_711.thy │ ├── mathd_numbertheory_728.thy │ ├── mathd_numbertheory_764.thy │ ├── mathd_numbertheory_765.thy │ ├── mathd_numbertheory_769.thy │ ├── mathd_numbertheory_85.thy │ ├── mathd_numbertheory_99.thy │ ├── numbertheory_2pownm1prime_nprime.thy │ ├── numbertheory_3pow2pownm1mod2pownp3eq2pownp2.thy │ ├── numbertheory_4x3m7y3neq2003.thy │ ├── numbertheory_aoddbdiv4asqpbsqmod8eq1.thy │ ├── numbertheory_exk2powkeqapb2mulbpa2_aeq1.thy │ ├── numbertheory_fxeq4powxp6powxp9powx_f2powmdvdf2pown.thy │ ├── numbertheory_notequiv2i2jasqbsqdiv8.thy │ └── numbertheory_x5neqy2p4.thy └── valid │ ├── aimeII_2001_p3.thy │ ├── aimeII_2020_p6.thy │ ├── aimeI_2000_p7.thy │ ├── aime_1983_p9.thy │ ├── aime_1984_p15.thy │ ├── aime_1984_p5.thy │ ├── aime_1987_p8.thy │ ├── aime_1988_p3.thy │ ├── aime_1988_p4.thy │ ├── aime_1990_p2.thy │ ├── aime_1991_p1.thy │ ├── aime_1991_p6.thy │ ├── aime_1994_p4.thy │ ├── aime_1996_p5.thy │ ├── aime_1997_p11.thy │ ├── algebra_2complexrootspoly_xsqp49eqxp7itxpn7i.thy │ ├── algebra_2rootsintpoly_am10tap11eqasqpam110.thy │ ├── algebra_2rootspoly_apatapbeq2asqp2ab.thy │ ├── algebra_2varlineareq_xpeeq7_2xpeeq3_eeq11_xeqn4.thy │ ├── algebra_3rootspoly_amdtamctambeqnasqmbpctapcbtdpasqmbpctapcbta.thy │ ├── algebra_amgm_faxinrrp2msqrt2geq2mxm1div2x.thy │ ├── algebra_amgm_prod1toneq1_sum1tongeqn.thy │ ├── algebra_amgm_sqrtxymulxmyeqxpy_xpygeq4.thy │ ├── algebra_amgm_sumasqdivbsqgeqsumbdiva.thy │ ├── algebra_apb4leq8ta4pb4.thy │ ├── algebra_binomnegdiscrineq_10alt28asqp1.thy │ ├── algebra_manipexpr_2erprsqpesqeqnrpnesq.thy │ ├── algebra_manipexpr_apbeq2cceqiacpbceqm2.thy │ ├── algebra_sqineq_2at2pclta2c2p41pc.thy │ ├── algebra_sqineq_2unitcircatblt1.thy │ ├── algebra_sqineq_36azm9asqle36zsq.thy │ ├── algebra_sqineq_4bap1lt4bsqpap1sq.thy │ ├── algebra_xmysqpymzsqpzmxsqeqxyz_xpypzp6dvdx3y3z3.thy │ ├── amc12_2000_p11.thy │ ├── amc12_2000_p15.thy │ ├── amc12_2000_p5.thy │ ├── amc12_2001_p2.thy │ ├── amc12_2001_p9.thy │ ├── amc12a_2002_p1.thy │ ├── amc12a_2002_p12.thy │ ├── amc12a_2002_p21.thy │ ├── amc12a_2003_p1.thy │ ├── amc12a_2003_p24.thy │ ├── amc12a_2003_p25.thy │ ├── amc12a_2008_p15.thy │ ├── amc12a_2008_p2.thy │ ├── amc12a_2008_p4.thy │ ├── amc12a_2008_p8.thy │ ├── amc12a_2009_p15.thy │ ├── amc12a_2009_p2.thy │ ├── amc12a_2009_p25.thy │ ├── amc12a_2009_p5.thy │ ├── amc12a_2009_p9.thy │ ├── amc12a_2010_p10.thy │ ├── amc12a_2010_p11.thy │ ├── amc12a_2010_p22.thy │ ├── amc12a_2011_p18.thy │ ├── amc12a_2013_p7.thy │ ├── amc12a_2013_p8.thy │ ├── amc12a_2015_p10.thy │ ├── amc12a_2016_p2.thy │ ├── amc12a_2016_p3.thy │ ├── amc12a_2017_p2.thy │ ├── amc12a_2017_p7.thy │ ├── amc12a_2019_p21.thy │ ├── amc12a_2019_p9.thy │ ├── amc12a_2020_p13.thy │ ├── amc12a_2020_p21.thy │ ├── amc12a_2021_p7.thy │ ├── amc12b_2002_p11.thy │ ├── amc12b_2002_p3.thy │ ├── amc12b_2002_p6.thy │ ├── amc12b_2003_p17.thy │ ├── amc12b_2003_p6.thy │ ├── amc12b_2003_p9.thy │ ├── amc12b_2004_p3.thy │ ├── amc12b_2020_p5.thy │ ├── amc12b_2021_p21.thy │ ├── imo_1961_p1.thy │ ├── imo_1962_p4.thy │ ├── imo_1964_p1_1.thy │ ├── imo_1964_p1_2.thy │ ├── imo_1965_p1.thy │ ├── imo_1966_p4.thy │ ├── imo_1966_p5.thy │ ├── imo_1967_p3.thy │ ├── imo_1973_p3.thy │ ├── imo_1974_p5.thy │ ├── imo_1977_p5.thy │ ├── imo_1978_p5.thy │ ├── imo_1979_p1.thy │ ├── imo_1984_p2.thy │ ├── imo_1987_p4.thy │ ├── imo_1987_p6.thy │ ├── imo_1988_p6.thy │ ├── imo_1990_p3.thy │ ├── imo_1993_p5.thy │ ├── imo_2006_p3.thy │ ├── induction_divisibility_3div2tooddnp1.thy │ ├── induction_divisibility_3divnto3m2n.thy │ ├── induction_divisibility_9div10tonm1.thy │ ├── induction_ineq_nsqlefactn.thy │ ├── induction_seq_mul2pnp1.thy │ ├── induction_sum2kp1npqsqm1.thy │ ├── induction_sum_1oktkp1.thy │ ├── induction_sum_odd.thy │ ├── mathd_algebra_10.thy │ ├── mathd_algebra_101.thy │ ├── mathd_algebra_104.thy │ ├── mathd_algebra_109.thy │ ├── mathd_algebra_11.thy │ ├── mathd_algebra_110.thy │ ├── mathd_algebra_116.thy │ ├── mathd_algebra_119.thy │ ├── mathd_algebra_123.thy │ ├── mathd_algebra_126.thy │ ├── mathd_algebra_13.thy │ ├── mathd_algebra_131.thy │ ├── mathd_algebra_132.thy │ ├── mathd_algebra_140.thy │ ├── mathd_algebra_144.thy │ ├── mathd_algebra_149.thy │ ├── mathd_algebra_15.thy │ ├── mathd_algebra_151.thy │ ├── mathd_algebra_159.thy │ ├── mathd_algebra_181.thy │ ├── mathd_algebra_182.thy │ ├── mathd_algebra_185.thy │ ├── mathd_algebra_190.thy │ ├── mathd_algebra_192.thy │ ├── mathd_algebra_206.thy │ ├── mathd_algebra_214.thy │ ├── mathd_algebra_22.thy │ ├── mathd_algebra_224.thy │ ├── mathd_algebra_234.thy │ ├── mathd_algebra_245.thy │ ├── mathd_algebra_247.thy │ ├── mathd_algebra_251.thy │ ├── mathd_algebra_267.thy │ ├── mathd_algebra_28.thy │ ├── mathd_algebra_282.thy │ ├── mathd_algebra_31.thy │ ├── mathd_algebra_323.thy │ ├── mathd_algebra_327.thy │ ├── mathd_algebra_35.thy │ ├── mathd_algebra_37.thy │ ├── mathd_algebra_393.thy │ ├── mathd_algebra_405.thy │ ├── mathd_algebra_410.thy │ ├── mathd_algebra_421.thy │ ├── mathd_algebra_422.thy │ ├── mathd_algebra_43.thy │ ├── mathd_algebra_433.thy │ ├── mathd_algebra_437.thy │ ├── mathd_algebra_451.thy │ ├── mathd_algebra_455.thy │ ├── mathd_algebra_462.thy │ ├── mathd_algebra_48.thy │ ├── mathd_algebra_480.thy │ ├── mathd_algebra_482.thy │ ├── mathd_algebra_493.thy │ ├── mathd_algebra_509.thy │ ├── mathd_algebra_51.thy │ ├── mathd_algebra_510.thy │ ├── mathd_algebra_536.thy │ ├── mathd_algebra_547.thy │ ├── mathd_algebra_55.thy │ ├── mathd_algebra_568.thy │ ├── mathd_algebra_59.thy │ ├── mathd_algebra_616.thy │ ├── mathd_algebra_67.thy │ ├── mathd_algebra_69.thy │ ├── mathd_algebra_73.thy │ ├── mathd_algebra_77.thy │ ├── mathd_algebra_89.thy │ ├── mathd_algebra_96.thy │ ├── mathd_numbertheory_101.thy │ ├── mathd_numbertheory_102.thy │ ├── mathd_numbertheory_109.thy │ ├── mathd_numbertheory_110.thy │ ├── mathd_numbertheory_126.thy │ ├── mathd_numbertheory_13.thy │ ├── mathd_numbertheory_132.thy │ ├── mathd_numbertheory_136.thy │ ├── mathd_numbertheory_149.thy │ ├── mathd_numbertheory_155.thy │ ├── mathd_numbertheory_156.thy │ ├── mathd_numbertheory_169.thy │ ├── mathd_numbertheory_188.thy │ ├── mathd_numbertheory_198.thy │ ├── mathd_numbertheory_200.thy │ ├── mathd_numbertheory_202.thy │ ├── mathd_numbertheory_211.thy │ ├── mathd_numbertheory_22.thy │ ├── mathd_numbertheory_221.thy │ ├── mathd_numbertheory_232.thy │ ├── mathd_numbertheory_236.thy │ ├── mathd_numbertheory_24.thy │ ├── mathd_numbertheory_252.thy │ ├── mathd_numbertheory_257.thy │ ├── mathd_numbertheory_269.thy │ ├── mathd_numbertheory_284.thy │ ├── mathd_numbertheory_30.thy │ ├── mathd_numbertheory_301.thy │ ├── mathd_numbertheory_303.thy │ ├── mathd_numbertheory_32.thy │ ├── mathd_numbertheory_326.thy │ ├── mathd_numbertheory_33.thy │ ├── mathd_numbertheory_335.thy │ ├── mathd_numbertheory_35.thy │ ├── mathd_numbertheory_37.thy │ ├── mathd_numbertheory_370.thy │ ├── mathd_numbertheory_403.thy │ ├── mathd_numbertheory_405.thy │ ├── mathd_numbertheory_412.thy │ ├── mathd_numbertheory_42.thy │ ├── mathd_numbertheory_43.thy │ ├── mathd_numbertheory_45.thy │ ├── mathd_numbertheory_458.thy │ ├── mathd_numbertheory_461.thy │ ├── mathd_numbertheory_466.thy │ ├── mathd_numbertheory_48.thy │ ├── mathd_numbertheory_530.thy │ ├── mathd_numbertheory_543.thy │ ├── mathd_numbertheory_629.thy │ ├── mathd_numbertheory_64.thy │ ├── mathd_numbertheory_640.thy │ ├── mathd_numbertheory_668.thy │ ├── mathd_numbertheory_690.thy │ ├── mathd_numbertheory_709.thy │ ├── mathd_numbertheory_739.thy │ ├── mathd_numbertheory_780.thy │ ├── mathd_numbertheory_81.thy │ ├── mathd_numbertheory_84.thy │ ├── mathd_numbertheory_92.thy │ ├── mathd_numbertheory_961.thy │ ├── numbertheory_2dvd4expn.thy │ ├── numbertheory_aneqprodakp4_anmsqrtanp1eq2.thy │ ├── numbertheory_nckeqnm1ckpnm1ckm1.thy │ ├── numbertheory_prmdvsneqnsqmodpeq0.thy │ ├── numbertheory_sqmod3in01d.thy │ ├── numbertheory_sqmod4in01d.thy │ ├── numbertheory_sumkmulnckeqnmul2pownm1.thy │ └── numbertheory_xsqpysqintdenomeq.thy ├── lean ├── LICENSE ├── scripts │ ├── lint_style.py │ ├── mk_minif2f.sh │ └── simple_formatter.sh └── src │ ├── minif2f_import.lean │ ├── test.lean │ └── valid.lean ├── leanpkg.toml └── metamath ├── LICENSE ├── test ├── aime-1983-p1.mm ├── aime-1983-p2.mm ├── aime-1983-p3.mm ├── aime-1984-p1.mm ├── aime-1984-p7.mm ├── aime-1987-p5.mm ├── aime-1988-p8.mm ├── aime-1989-p8.mm ├── aime-1990-p15.mm ├── aime-1990-p4.mm ├── aime-1991-p9.mm ├── aime-1994-p3.mm ├── aime-1995-p7.mm ├── aime-1997-p9.mm ├── aime-1999-p11.mm ├── algebra-2varlineareq-fp3zeq11-3tfm1m5zeqn68-feqn10-zeq7.mm ├── algebra-9onxpypzleqsum2onxpy.mm ├── algebra-abpbcpcageq3-sumaonsqrtapbgeq3onsqrt2.mm ├── algebra-absapbon1pabsapbleqsumabsaon1pabsa.mm ├── algebra-absxm1pabsxpabsxp1eqxp2-0leqxleq1.mm ├── algebra-amgm-sum1toneqn-prod1tonleq1.mm ├── algebra-amgm-sumasqdivbgeqsuma.mm ├── algebra-apbmpcneq0-aeq0anbeq0anceq0.mm ├── algebra-apbon2pownleqapownpbpowon2.mm ├── algebra-apbpceq2-abpbcpcaeq1-aleq1on3anbleq1ancleq4on3.mm ├── algebra-bleqa-apbon2msqrtableqambsqon8b.mm ├── algebra-cubrtrp1oncubrtreq3-rcubp1onrcubeq5778.mm ├── algebra-ineq-nto1onlt2m1on.mm ├── algebra-others-exirrpowirrrat.mm ├── algebra-sqineq-at2malt1.mm ├── algebra-sqineq-unitcircatbpabsamblt1.mm ├── algebra-sqineq-unitcircatbpamblt1.mm ├── algebra-sum1onsqrt2to1onsqrt10000lt198.mm ├── amc12-2000-p1.mm ├── amc12-2000-p12.mm ├── amc12-2000-p20.mm ├── amc12-2000-p6.mm ├── amc12-2001-p21.mm ├── amc12-2001-p5.mm ├── amc12a-2002-p13.mm ├── amc12a-2002-p6.mm ├── amc12a-2003-p23.mm ├── amc12a-2003-p5.mm ├── amc12a-2008-p25.mm ├── amc12a-2009-p6.mm ├── amc12a-2009-p7.mm ├── amc12a-2013-p4.mm ├── amc12a-2019-p12.mm ├── amc12a-2020-p10.mm ├── amc12a-2020-p15.mm ├── amc12a-2020-p25.mm ├── amc12a-2020-p4.mm ├── amc12a-2020-p7.mm ├── amc12a-2020-p9.mm ├── amc12a-2021-p12.mm ├── amc12a-2021-p14.mm ├── amc12a-2021-p18.mm ├── amc12a-2021-p19.mm ├── amc12a-2021-p22.mm ├── amc12a-2021-p25.mm ├── amc12a-2021-p3.mm ├── amc12a-2021-p8.mm ├── amc12a-2021-p9.mm ├── amc12b-2002-p19.mm ├── amc12b-2002-p2.mm ├── amc12b-2002-p4.mm ├── amc12b-2002-p7.mm ├── amc12b-2020-p13.mm ├── amc12b-2020-p2.mm ├── amc12b-2020-p21.mm ├── amc12b-2020-p22.mm ├── amc12b-2020-p6.mm ├── amc12b-2021-p1.mm ├── amc12b-2021-p13.mm ├── amc12b-2021-p18.mm ├── amc12b-2021-p3.mm ├── amc12b-2021-p4.mm ├── amc12b-2021-p9.mm ├── imo-1959-p1.mm ├── imo-1960-p2.mm ├── imo-1962-p2.mm ├── imo-1963-p5.mm ├── imo-1964-p2.mm ├── imo-1965-p2.mm ├── imo-1968-p5-1.mm ├── imo-1969-p2.mm ├── imo-1974-p3.mm ├── imo-1977-p6.mm ├── imo-1981-p6.mm ├── imo-1982-p1.mm ├── imo-1983-p6.mm ├── imo-1984-p6.mm ├── imo-1985-p6.mm ├── imo-1992-p1.mm ├── imo-1997-p5.mm ├── imo-2001-p6.mm ├── imo-2019-p1.mm ├── imosl-2007-algebra-p6.mm ├── induction-11div10tonmn1ton.mm ├── induction-12dvd4expnp1p20.mm ├── induction-1pxpownlt1pnx.mm ├── induction-nfactltnexpnm1ngt3.mm ├── induction-pord1p1on2powklt5on2.mm ├── induction-pprime-pdvdapowpma.mm ├── induction-prod1p1onk3le3m1onn.mm ├── induction-sumkexp3eqsumksqsq.mm ├── mathd-algebra-107.mm ├── mathd-algebra-113.mm ├── mathd-algebra-114.mm ├── mathd-algebra-125.mm ├── mathd-algebra-129.mm ├── mathd-algebra-137.mm ├── mathd-algebra-139.mm ├── mathd-algebra-141.mm ├── mathd-algebra-142.mm ├── mathd-algebra-143.mm ├── mathd-algebra-148.mm ├── mathd-algebra-153.mm ├── mathd-algebra-156.mm ├── mathd-algebra-158.mm ├── mathd-algebra-160.mm ├── mathd-algebra-17.mm ├── mathd-algebra-170.mm ├── mathd-algebra-171.mm ├── mathd-algebra-176.mm ├── mathd-algebra-184.mm ├── mathd-algebra-188.mm ├── mathd-algebra-196.mm ├── mathd-algebra-208.mm ├── mathd-algebra-209.mm ├── mathd-algebra-215.mm ├── mathd-algebra-24.mm ├── mathd-algebra-246.mm ├── mathd-algebra-263.mm ├── mathd-algebra-270.mm ├── mathd-algebra-275.mm ├── mathd-algebra-276.mm ├── mathd-algebra-288.mm ├── mathd-algebra-289.mm ├── mathd-algebra-293.mm ├── mathd-algebra-296.mm ├── mathd-algebra-302.mm ├── mathd-algebra-304.mm ├── mathd-algebra-313.mm ├── mathd-algebra-314.mm ├── mathd-algebra-320.mm ├── mathd-algebra-329.mm ├── mathd-algebra-33.mm ├── mathd-algebra-332.mm ├── mathd-algebra-338.mm ├── mathd-algebra-342.mm ├── mathd-algebra-346.mm ├── mathd-algebra-354.mm ├── mathd-algebra-359.mm ├── mathd-algebra-362.mm ├── mathd-algebra-388.mm ├── mathd-algebra-392.mm ├── mathd-algebra-398.mm ├── mathd-algebra-400.mm ├── mathd-algebra-412.mm ├── mathd-algebra-419.mm ├── mathd-algebra-427.mm ├── mathd-algebra-432.mm ├── mathd-algebra-44.mm ├── mathd-algebra-440.mm ├── mathd-algebra-441.mm ├── mathd-algebra-452.mm ├── mathd-algebra-459.mm ├── mathd-algebra-478.mm ├── mathd-algebra-484.mm ├── mathd-algebra-487.mm ├── mathd-algebra-513.mm ├── mathd-algebra-598.mm ├── mathd-algebra-756.mm ├── mathd-algebra-76.mm ├── mathd-algebra-80.mm ├── mathd-numbertheory-100.mm ├── mathd-numbertheory-1124.mm ├── mathd-numbertheory-12.mm ├── mathd-numbertheory-127.mm ├── mathd-numbertheory-135.mm ├── mathd-numbertheory-150.mm ├── mathd-numbertheory-175.mm ├── mathd-numbertheory-185.mm ├── mathd-numbertheory-207.mm ├── mathd-numbertheory-212.mm ├── mathd-numbertheory-222.mm ├── mathd-numbertheory-227.mm ├── mathd-numbertheory-229.mm ├── mathd-numbertheory-233.mm ├── mathd-numbertheory-234.mm ├── mathd-numbertheory-235.mm ├── mathd-numbertheory-237.mm ├── mathd-numbertheory-239.mm ├── mathd-numbertheory-247.mm ├── mathd-numbertheory-254.mm ├── mathd-numbertheory-277.mm ├── mathd-numbertheory-293.mm ├── mathd-numbertheory-296.mm ├── mathd-numbertheory-299.mm ├── mathd-numbertheory-3.mm ├── mathd-numbertheory-314.mm ├── mathd-numbertheory-320.mm ├── mathd-numbertheory-321.mm ├── mathd-numbertheory-328.mm ├── mathd-numbertheory-34.mm ├── mathd-numbertheory-341.mm ├── mathd-numbertheory-342.mm ├── mathd-numbertheory-343.mm ├── mathd-numbertheory-345.mm ├── mathd-numbertheory-353.mm ├── mathd-numbertheory-427.mm ├── mathd-numbertheory-430.mm ├── mathd-numbertheory-435.mm ├── mathd-numbertheory-447.mm ├── mathd-numbertheory-451.mm ├── mathd-numbertheory-457.mm ├── mathd-numbertheory-483.mm ├── mathd-numbertheory-495.mm ├── mathd-numbertheory-5.mm ├── mathd-numbertheory-517.mm ├── mathd-numbertheory-521.mm ├── mathd-numbertheory-541.mm ├── mathd-numbertheory-551.mm ├── mathd-numbertheory-552.mm ├── mathd-numbertheory-559.mm ├── mathd-numbertheory-582.mm ├── mathd-numbertheory-618.mm ├── mathd-numbertheory-66.mm ├── mathd-numbertheory-711.mm ├── mathd-numbertheory-728.mm ├── mathd-numbertheory-764.mm ├── mathd-numbertheory-765.mm ├── mathd-numbertheory-769.mm ├── mathd-numbertheory-85.mm ├── mathd-numbertheory-99.mm ├── numbertheory-2pownm1prime-nprime.mm ├── numbertheory-3pow2pownm1mod2pownp3eq2pownp2.mm ├── numbertheory-4x3m7y3neq2003.mm ├── numbertheory-aoddbdiv4asqpbsqmod8eq1.mm ├── numbertheory-exk2powkeqapb2mulbpa2-aeq1.mm ├── numbertheory-fxeq4powxp6powxp9powx-f2powmdvdf2pown.mm ├── numbertheory-notequiv2i2jasqbsqdiv8.mm └── numbertheory-x5neqy2p4.mm └── valid ├── aime-1983-p9.mm ├── aime-1984-p15.mm ├── aime-1984-p5.mm ├── aime-1987-p8.mm ├── aime-1988-p3.mm ├── aime-1988-p4.mm ├── aime-1990-p2.mm ├── aime-1991-p1.mm ├── aime-1991-p6.mm ├── aime-1994-p4.mm ├── aime-1996-p5.mm ├── aime-1997-p11.mm ├── aimeI-2000-p7.mm ├── aimeII-2001-p3.mm ├── aimeII-2020-p6.mm ├── algebra-2complexrootspoly-xsqp49eqxp7itxpn7i.mm ├── algebra-2rootsintpoly-am10tap11eqasqpam110.mm ├── algebra-2rootspoly-apatapbeq2asqp2ab.mm ├── algebra-2varlineareq-xpeeq7-2xpeeq3-eeq11-xeqn4.mm ├── algebra-3rootspoly-amdtamctambeqnasqmbpctapcbtdpasqmbpctapcbta.mm ├── algebra-amgm-faxinrrp2msqrt2geq2mxm1div2x.mm ├── algebra-amgm-prod1toneq1-sum1tongeqn.mm ├── algebra-amgm-sqrtxymulxmyeqxpy-xpygeq4.mm ├── algebra-amgm-sumasqdivbsqgeqsumbdiva.mm ├── algebra-apb4leq8ta4pb4.mm ├── algebra-binomnegdiscrineq-10alt28asqp1.mm ├── algebra-manipexpr-2erprsqpesqeqnrpnesq.mm ├── algebra-manipexpr-apbeq2cceqiacpbceqm2.mm ├── algebra-sqineq-2at2pclta2c2p41pc.mm ├── algebra-sqineq-2unitcircatblt1.mm ├── algebra-sqineq-36azm9asqle36zsq.mm ├── algebra-sqineq-4bap1lt4bsqpap1sq.mm ├── algebra-xmysqpymzsqpzmxsqeqxyz-xpypzp6dvdx3y3z3.mm ├── amc12-2000-p11.mm ├── amc12-2000-p15.mm ├── amc12-2000-p5.mm ├── amc12-2001-p2.mm ├── amc12-2001-p9.mm ├── amc12a-2002-p1.mm ├── amc12a-2002-p12.mm ├── amc12a-2002-p21.mm ├── amc12a-2003-p1.mm ├── amc12a-2003-p24.mm ├── amc12a-2003-p25.mm ├── amc12a-2008-p15.mm ├── amc12a-2008-p2.mm ├── amc12a-2008-p4.mm ├── amc12a-2008-p8.mm ├── amc12a-2009-p15.mm ├── amc12a-2009-p2.mm ├── amc12a-2009-p25.mm ├── amc12a-2009-p5.mm ├── amc12a-2009-p9.mm ├── amc12a-2010-p10.mm ├── amc12a-2010-p11.mm ├── amc12a-2010-p22.mm ├── amc12a-2011-p18.mm ├── amc12a-2013-p7.mm ├── amc12a-2013-p8.mm ├── amc12a-2015-p10.mm ├── amc12a-2016-p2.mm ├── amc12a-2016-p3.mm ├── amc12a-2017-p2.mm ├── amc12a-2017-p7.mm ├── amc12a-2019-p21.mm ├── amc12a-2019-p9.mm ├── amc12a-2020-p13.mm ├── amc12a-2020-p21.mm ├── amc12a-2021-p7.mm ├── amc12b-2002-p11.mm ├── amc12b-2002-p3.mm ├── amc12b-2002-p6.mm ├── amc12b-2003-p17.mm ├── amc12b-2003-p6.mm ├── amc12b-2003-p9.mm ├── amc12b-2004-p3.mm ├── amc12b-2020-p5.mm ├── amc12b-2021-p21.mm ├── imo-1961-p1.mm ├── imo-1962-p4.mm ├── imo-1964-p1-1.mm ├── imo-1964-p1-2.mm ├── imo-1965-p1.mm ├── imo-1966-p4.mm ├── imo-1966-p5.mm ├── imo-1967-p3.mm ├── imo-1973-p3.mm ├── imo-1974-p5.mm ├── imo-1977-p5.mm ├── imo-1978-p5.mm ├── imo-1979-p1.mm ├── imo-1984-p2.mm ├── imo-1987-p4.mm ├── imo-1987-p6.mm ├── imo-1988-p6.mm ├── imo-1990-p3.mm ├── imo-1993-p5.mm ├── imo-2006-p3.mm ├── induction-divisibility-3div2tooddnp1.mm ├── induction-divisibility-3divnto3m2n.mm ├── induction-divisibility-9div10tonm1.mm ├── induction-ineq-nsqlefactn.mm ├── induction-seq-mul2pnp1.mm ├── induction-sum-1oktkp1.mm ├── induction-sum-odd.mm ├── induction-sum2kp1npqsqm1.mm ├── mathd-algebra-10.mm ├── mathd-algebra-101.mm ├── mathd-algebra-104.mm ├── mathd-algebra-109.mm ├── mathd-algebra-11.mm ├── mathd-algebra-110.mm ├── mathd-algebra-116.mm ├── mathd-algebra-119.mm ├── mathd-algebra-123.mm ├── mathd-algebra-126.mm ├── mathd-algebra-13.mm ├── mathd-algebra-131.mm ├── mathd-algebra-132.mm ├── mathd-algebra-140.mm ├── mathd-algebra-144.mm ├── mathd-algebra-149.mm ├── mathd-algebra-15.mm ├── mathd-algebra-151.mm ├── mathd-algebra-159.mm ├── mathd-algebra-181.mm ├── mathd-algebra-182.mm ├── mathd-algebra-185.mm ├── mathd-algebra-190.mm ├── mathd-algebra-192.mm ├── mathd-algebra-206.mm ├── mathd-algebra-214.mm ├── mathd-algebra-22.mm ├── mathd-algebra-224.mm ├── mathd-algebra-234.mm ├── mathd-algebra-245.mm ├── mathd-algebra-247.mm ├── mathd-algebra-251.mm ├── mathd-algebra-267.mm ├── mathd-algebra-28.mm ├── mathd-algebra-282.mm ├── mathd-algebra-31.mm ├── mathd-algebra-323.mm ├── mathd-algebra-327.mm ├── mathd-algebra-35.mm ├── mathd-algebra-37.mm ├── mathd-algebra-393.mm ├── mathd-algebra-405.mm ├── mathd-algebra-410.mm ├── mathd-algebra-421.mm ├── mathd-algebra-422.mm ├── mathd-algebra-43.mm ├── mathd-algebra-433.mm ├── mathd-algebra-437.mm ├── mathd-algebra-451.mm ├── mathd-algebra-455.mm ├── mathd-algebra-462.mm ├── mathd-algebra-48.mm ├── mathd-algebra-480.mm ├── mathd-algebra-482.mm ├── mathd-algebra-493.mm ├── mathd-algebra-509.mm ├── mathd-algebra-51.mm ├── mathd-algebra-510.mm ├── mathd-algebra-536.mm ├── mathd-algebra-547.mm ├── mathd-algebra-55.mm ├── mathd-algebra-568.mm ├── mathd-algebra-59.mm ├── mathd-algebra-616.mm ├── mathd-algebra-67.mm ├── mathd-algebra-69.mm ├── mathd-algebra-73.mm ├── mathd-algebra-77.mm ├── mathd-algebra-89.mm ├── mathd-algebra-96.mm ├── mathd-numbertheory-101.mm ├── mathd-numbertheory-102.mm ├── mathd-numbertheory-109.mm ├── mathd-numbertheory-110.mm ├── mathd-numbertheory-126.mm ├── mathd-numbertheory-13.mm ├── mathd-numbertheory-132.mm ├── mathd-numbertheory-136.mm ├── mathd-numbertheory-149.mm ├── mathd-numbertheory-155.mm ├── mathd-numbertheory-156.mm ├── mathd-numbertheory-169.mm ├── mathd-numbertheory-188.mm ├── mathd-numbertheory-198.mm ├── mathd-numbertheory-200.mm ├── mathd-numbertheory-202.mm ├── mathd-numbertheory-211.mm ├── mathd-numbertheory-22.mm ├── mathd-numbertheory-221.mm ├── mathd-numbertheory-232.mm ├── mathd-numbertheory-236.mm ├── mathd-numbertheory-24.mm ├── mathd-numbertheory-252.mm ├── mathd-numbertheory-257.mm ├── mathd-numbertheory-269.mm ├── mathd-numbertheory-284.mm ├── mathd-numbertheory-30.mm ├── mathd-numbertheory-301.mm ├── mathd-numbertheory-303.mm ├── mathd-numbertheory-32.mm ├── mathd-numbertheory-326.mm ├── mathd-numbertheory-33.mm ├── mathd-numbertheory-335.mm ├── mathd-numbertheory-35.mm ├── mathd-numbertheory-37.mm ├── mathd-numbertheory-370.mm ├── mathd-numbertheory-403.mm ├── mathd-numbertheory-405.mm ├── mathd-numbertheory-412.mm ├── mathd-numbertheory-42.mm ├── mathd-numbertheory-43.mm ├── mathd-numbertheory-45.mm ├── mathd-numbertheory-458.mm ├── mathd-numbertheory-461.mm ├── mathd-numbertheory-466.mm ├── mathd-numbertheory-48.mm ├── mathd-numbertheory-530.mm ├── mathd-numbertheory-543.mm ├── mathd-numbertheory-629.mm ├── mathd-numbertheory-64.mm ├── mathd-numbertheory-640.mm ├── mathd-numbertheory-668.mm ├── mathd-numbertheory-690.mm ├── mathd-numbertheory-709.mm ├── mathd-numbertheory-739.mm ├── mathd-numbertheory-780.mm ├── mathd-numbertheory-81.mm ├── mathd-numbertheory-84.mm ├── mathd-numbertheory-92.mm ├── mathd-numbertheory-961.mm ├── numbertheory-2dvd4expn.mm ├── numbertheory-aneqprodakp4-anmsqrtanp1eq2.mm ├── numbertheory-nckeqnm1ckpnm1ckm1.mm ├── numbertheory-prmdvsneqnsqmodpeq0.mm ├── numbertheory-sqmod3in01d.mm ├── numbertheory-sqmod4in01d.mm ├── numbertheory-sumkmulnckeqnmul2pownm1.mm └── numbertheory-xsqpysqintdenomeq.mm /.gitignore: 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/hollight/test/mathd-algebra-196.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-196.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-208.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-208.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-215.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-215.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-24.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-24.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-246.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-246.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-263.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-263.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-270.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-270.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-275.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-275.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-276.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-276.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-288.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-288.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-289.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-289.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-293.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-293.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-296.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-296.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-302.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-302.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-304.ml: -------------------------------------------------------------------------------- 1 | let mathd-algebra-304 = `91 EXP 2 = 8281`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-313.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-313.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-314.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-314.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-320.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-320.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-329.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-329.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-33.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-33.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-332.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-332.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-338.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-338.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-342.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-342.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-346.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-346.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-354.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-354.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-362.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-362.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-388.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-388.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-392.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-392.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-398.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-398.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-400.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-400.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-412.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-412.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-419.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-419.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-427.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-427.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-432.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-432.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-440.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-440.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-478.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-478.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-484.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-484.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-487.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-487.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-513.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-513.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-76.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-76.ml -------------------------------------------------------------------------------- /hollight/test/mathd-algebra-80.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/test/mathd-algebra-80.ml -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-150.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-150 = `!n:num. ~(prime (7 + 30 * n)) ==> 6 <= n`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-175.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-175 = `(2 EXP 2010) MOD 10 = 4`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-229.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-229 = `(5 EXP 30) MOD 7 = 1`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-3.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-3 = `(nsum (0..(10-1)) (\x. (x + 1) EXP 2)) MOD 10 = 5`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-342.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-342 = `54 MOD 6 = 0`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-551.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-551 = `1529 MOD 6 = 5`;; 2 | -------------------------------------------------------------------------------- /hollight/test/mathd-numbertheory-66.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-66 = `194 MOD 11 = 7`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/aime-1983-p9.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/aime-1983-p9.ml -------------------------------------------------------------------------------- /hollight/valid/aime-1984-p15.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/aime-1984-p15.ml -------------------------------------------------------------------------------- /hollight/valid/aime-1984-p5.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/aime-1984-p5.ml -------------------------------------------------------------------------------- /hollight/valid/amc12-2000-p11.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12-2000-p11.ml -------------------------------------------------------------------------------- /hollight/valid/amc12-2000-p15.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12-2000-p15.ml -------------------------------------------------------------------------------- /hollight/valid/amc12-2000-p5.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12-2000-p5.ml -------------------------------------------------------------------------------- /hollight/valid/amc12-2001-p2.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12-2001-p2.ml -------------------------------------------------------------------------------- /hollight/valid/amc12-2001-p9.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12-2001-p9.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2002-p1.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2002-p1.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2002-p12.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2002-p12.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2002-p21.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2002-p21.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2003-p1.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2003-p1.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2003-p24.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2003-p24.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2003-p25.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2003-p25.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2020-p13.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2020-p13.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2020-p21.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2020-p21.ml -------------------------------------------------------------------------------- /hollight/valid/amc12a-2021-p7.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12a-2021-p7.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2002-p11.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2002-p11.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2002-p3.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2002-p3.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2002-p6.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2002-p6.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2003-p17.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2003-p17.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2003-p6.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2003-p6.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2003-p9.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2003-p9.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2004-p3.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2004-p3.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2020-p5.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2020-p5.ml -------------------------------------------------------------------------------- /hollight/valid/amc12b-2021-p21.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/amc12b-2021-p21.ml -------------------------------------------------------------------------------- /hollight/valid/imo-1990-p3.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/imo-1990-p3.ml -------------------------------------------------------------------------------- /hollight/valid/imo-2006-p3.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/imo-2006-p3.ml -------------------------------------------------------------------------------- /hollight/valid/induction-sum-odd.ml: -------------------------------------------------------------------------------- 1 | let induction-sum-odd = `!n:num. nsum(0..(n-1)) (\k. 2 * k + 1) = n EXP 2`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-10.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-10.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-101.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-101.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-104.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-104.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-109.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-109.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-11.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-11.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-110.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-110.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-116.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-116.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-119.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-119.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-123.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-123.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-126.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-126.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-13.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-13.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-131.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-131.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-132.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-132.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-140.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-140.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-144.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-144.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-149.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-149.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-15.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-15.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-151.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-151.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-159.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-159.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-181.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-181.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-182.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-182.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-185.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-185.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-190.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-190.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-192.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-192.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-206.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-206.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-214.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-214.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-22.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-22.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-224.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-224.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-234.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-234.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-245.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-245.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-247.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-247.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-251.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-251.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-267.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-267.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-28.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-28.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-282.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-282.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-327.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-327.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-35.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-35.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-37.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-37.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-421.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-421.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-43.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-43.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-455.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-455.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-48.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-48.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-51.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-51.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-55.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-55.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-59.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-59.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-67.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-67.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-69.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-69.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-73.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-73.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-77.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-77.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-89.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-89.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-algebra-96.ml: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/hollight/valid/mathd-algebra-96.ml -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-101.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-101 = `(17 * 18) MOD 4 = 2`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-102.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-102 = `(2 EXP 8) MOD 5 = 1`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-133.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-133 = `gcd(180,168) = 12`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-198.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-198 = `(5 EXP 2005) MOD 100 = 25`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-200.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-200 = `139 MOD 11 = 7`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-236.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-236 = `(1999 EXP 2000) MOD 5 = 1`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-24.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-24 = `nsum (1..(10-1)) (\k. 11 EXP k) MOD 100 = 59`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-252.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-252 = `(FACT 7) MOD 23 = 3`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-45.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-45 = `gcd(6432,132) + 11 = 23`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-739.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-739 = `(FACT 9) MOD 10 = 0`;; 2 | -------------------------------------------------------------------------------- /hollight/valid/mathd-numbertheory-81.ml: -------------------------------------------------------------------------------- 1 | let mathd-numbertheory-81 = `71 MOD 3 = 2`;; 2 | -------------------------------------------------------------------------------- /informal/test/aime_1983_p1.json: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/informal/test/aime_1983_p1.json -------------------------------------------------------------------------------- /informal/test/aime_1983_p2.json: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/facebookresearch/miniF2F/HEAD/informal/test/aime_1983_p2.json -------------------------------------------------------------------------------- /informal/test/aime_1983_p3.json: 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