├── .github └── workflows │ ├── push_main.yml │ └── push_pr.yml ├── .gitignore ├── .vscode ├── con-nf.code-snippets └── settings.json ├── ConNF.lean ├── ConNF ├── Background │ ├── Cardinal.lean │ ├── InductiveConstruction.lean │ ├── Ordinal.lean │ ├── PermutativeExtension.lean │ ├── ReflTransGen.lean │ ├── Rel.lean │ ├── Set.lean │ ├── Transfer.lean │ └── WellOrder.lean ├── Base │ ├── Atom.lean │ ├── BasePerm.lean │ ├── Litter.lean │ ├── NearLitter.lean │ ├── Params.lean │ ├── Small.lean │ └── TypeIndex.lean ├── Construction │ ├── Code.lean │ └── NewModelData.lean ├── Counting │ ├── BaseCoding.lean │ ├── BaseCounting.lean │ ├── Conclusions.lean │ ├── CountSupportOrbit.lean │ └── Recode.lean ├── External │ ├── Basic.lean │ ├── Counting.lean │ └── WellOrder.lean ├── FOA │ ├── BaseAction.lean │ ├── BaseApprox.lean │ ├── Coherent.lean │ ├── FlexApprox.lean │ ├── Inflexible.lean │ ├── StrAction.lean │ ├── StrActionFOA.lean │ ├── StrApprox.lean │ └── StrApproxFOA.lean ├── Levels │ ├── Path.lean │ ├── StrPerm.lean │ ├── StrSet.lean │ └── Tree.lean ├── Model │ ├── ConstructHypothesis.lean │ ├── ConstructMotive.lean │ ├── Externalise.lean │ ├── Hailperin.lean │ ├── InductionStatement.lean │ ├── RaiseStrong.lean │ ├── Result.lean │ ├── RunInduction.lean │ └── TTT.lean ├── ModelData │ ├── CoherentData.lean │ ├── Enumeration.lean │ ├── Fuzz.lean │ ├── Level.lean │ ├── ModelData.lean │ ├── PathEnumeration.lean │ └── Support.lean ├── Position │ ├── BasePositions.lean │ ├── Deny.lean │ └── Position.lean └── Strong │ ├── CodingFunction.lean │ ├── SMulSpec.lean │ ├── Spec.lean │ ├── SpecSame.lean │ └── Strong.lean ├── DependencyGraph.lean ├── LICENSE_APACHE ├── LICENSE_MIT ├── Old ├── ConNF.lean ├── ConNF │ ├── BaseType.lean │ ├── BaseType │ │ ├── Atom.lean │ │ ├── BasePerm.lean │ │ ├── Litter.lean │ │ ├── NearLitter.lean │ │ ├── Params.lean │ │ └── Small.lean │ ├── Construction.lean │ ├── Construction │ │ ├── Cloud.lean │ │ ├── Code.lean │ │ ├── CodeEquiv.lean │ │ ├── Hypotheses.lean │ │ ├── NewAllowable.lean │ │ ├── NewTSet.lean │ │ └── Position.lean │ ├── Counting.lean │ ├── Counting │ │ ├── CodingFunction.lean │ │ ├── Conclusions.lean │ │ ├── CountCodingFunction.lean │ │ ├── CountRaisedSingleton.lean │ │ ├── CountSpec.lean │ │ ├── CountSupportOrbit.lean │ │ ├── ExistsSpec.lean │ │ ├── Hypotheses.lean │ │ ├── Recode.lean │ │ ├── Spec.lean │ │ ├── SpecSMul.lean │ │ ├── SpecSame.lean │ │ ├── StrongSupport.lean │ │ ├── SupportOrbit.lean │ │ └── Twist.lean │ ├── FOA.lean │ ├── FOA │ │ ├── Approx.lean │ │ ├── Approx │ │ │ ├── BaseApprox.lean │ │ │ └── StructApprox.lean │ │ ├── Basic.lean │ │ ├── Basic │ │ │ ├── CompleteOrbit.lean │ │ │ ├── Constrains.lean │ │ │ ├── Flexible.lean │ │ │ ├── Hypotheses.lean │ │ │ └── Sublitter.lean │ │ ├── Complete.lean │ │ ├── Complete │ │ │ ├── AtomCompletion.lean │ │ │ ├── CompleteAction.lean │ │ │ ├── FlexibleCompletion.lean │ │ │ ├── HypAction.lean │ │ │ ├── LitterCompletion.lean │ │ │ └── NearLitterCompletion.lean │ │ ├── Corollaries.lean │ │ ├── LAction.lean │ │ ├── LAction │ │ │ ├── BaseLAction.lean │ │ │ ├── Complete.lean │ │ │ ├── FillAtomOrbits.lean │ │ │ ├── FillAtomRange.lean │ │ │ ├── StructLAction.lean │ │ │ └── ToApprox.lean │ │ ├── NLAction.lean │ │ ├── NLAction │ │ │ ├── BaseNLAction.lean │ │ │ └── StructNLAction.lean │ │ ├── Properties.lean │ │ ├── Properties │ │ │ ├── Bijective.lean │ │ │ ├── ConstrainedAction.lean │ │ │ ├── Injective.lean │ │ │ └── Surjective.lean │ │ └── Result.lean │ ├── Fuzz.lean │ ├── Fuzz │ │ ├── Construction.lean │ │ ├── Hypotheses.lean │ │ └── Position.lean │ ├── Mathlib.lean │ ├── Mathlib │ │ ├── Cardinal.lean │ │ ├── Equiv.lean │ │ ├── Group.lean │ │ ├── GroupAction.lean │ │ ├── Logic.lean │ │ ├── Logic │ │ │ └── Equiv │ │ │ │ └── PartialPerm.lean │ │ ├── Nat.lean │ │ ├── Order.lean │ │ ├── Ordinal.lean │ │ ├── PFun.lean │ │ ├── Pointwise.lean │ │ ├── Support.lean │ │ ├── Transfer.lean │ │ └── WithBot.lean │ ├── Model.lean │ ├── Model │ │ ├── BasePositions.lean │ │ ├── Basic.lean │ │ ├── CountZero.lean │ │ ├── FOA.lean │ │ ├── MainInduction.lean │ │ ├── Predicative.lean │ │ ├── RaiseStrong.lean │ │ ├── Redefinitions.lean │ │ ├── Result.lean │ │ └── Union.lean │ ├── New │ │ ├── DerivativeTest.lean │ │ └── RelationTest.lean │ ├── Structural.lean │ └── Structural │ │ ├── Enumeration.lean │ │ ├── Index.lean │ │ ├── StructPerm.lean │ │ ├── StructSet.lean │ │ ├── Support.lean │ │ └── Tree.lean ├── Naming.md ├── TODO.md ├── lake-manifest.json ├── lakefile.toml └── lean-toolchain ├── README.md ├── blueprint ├── .gitignore ├── requirements.txt ├── src │ ├── chapters │ │ ├── abstract.tex │ │ ├── auxiliary.tex │ │ ├── construction.tex │ │ ├── counting.tex │ │ ├── environment.tex │ │ ├── foa.tex │ │ ├── induction.tex │ │ ├── introduction.tex │ │ ├── model.tex │ │ └── model_theory.tex │ ├── content.tex │ ├── extra_styles.css │ ├── macro │ │ ├── common.tex │ │ ├── print.tex │ │ └── web.tex │ ├── plastex.cfg │ ├── print.tex │ ├── refs.bib │ └── web.tex └── tasks.py ├── docs ├── .bundle │ └── config ├── .gitignore ├── 404.html ├── Gemfile ├── Gemfile.lock ├── _config.yml ├── _layouts │ └── default.html ├── about.md ├── assets │ └── css │ │ └── style.scss ├── index.md └── social │ ├── ConNF social.kra │ └── ConNF social.png ├── fonts ├── FiraCode-Regular.ttf ├── JuliaMono-ttf │ ├── JuliaMono-Black.ttf │ ├── JuliaMono-BlackItalic.ttf │ ├── JuliaMono-Bold.ttf │ ├── JuliaMono-BoldItalic.ttf │ ├── JuliaMono-ExtraBold.ttf │ ├── JuliaMono-ExtraBoldItalic.ttf │ ├── JuliaMono-Light.ttf │ ├── JuliaMono-LightItalic.ttf │ ├── JuliaMono-Medium.ttf │ ├── JuliaMono-MediumItalic.ttf │ ├── JuliaMono-Regular.ttf │ ├── JuliaMono-RegularItalic.ttf │ ├── JuliaMono-SemiBold.ttf │ ├── JuliaMono-SemiBoldItalic.ttf │ └── LICENSE ├── STIXTwo │ ├── STIXTwoMath-Regular.otf │ ├── STIXTwoText-Bold.otf │ ├── STIXTwoText-BoldItalic.otf │ ├── STIXTwoText-Italic.otf │ └── STIXTwoText-Regular.otf ├── Source_Sans_3 │ ├── OFL.txt │ ├── README.txt │ └── 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