├── .gitignore ├── Helpers ├── Categorical.lagda ├── DataProperties.lagda ├── EqualityCombinators.lagda ├── Equiv.lagda ├── FinEquivPlusTimes.agda ├── FinEquivTypeEquiv.agda ├── FinNatLemmas.agda ├── Forget.lagda ├── Function2.lagda ├── Hardy.lagda ├── LeqLemmas.agda └── TypeEquiv.lagda ├── Makefile ├── MusaAgdaColour.el ├── MyUnicodeSymbols.sty ├── OurEverything.agda ├── POPL19.org ├── POPL19.pdf ├── README.md ├── Structures ├── AbelianGroup.lagda ├── Baguette.lagda ├── CarrierAlgebra.lagda ├── CommMonoid.lagda ├── Contractable.lagda ├── Dependent.lagda ├── DistinguishedSubset.lagda ├── DynamicalSystem.lagda ├── Experiments │ ├── Bag.lagda │ ├── BagAndSetEquality-SetoidMembership.agda │ ├── Belongs.lagda │ ├── CommMonoid-SET.lagda │ ├── CommMonoidTerm.lagda │ ├── CounterExample.lagda │ ├── Data │ │ ├── Product │ │ │ └── Properties2.agda │ │ ├── Sum │ │ │ └── Properties2.agda │ │ └── SumProd │ │ │ └── Properties.agda │ ├── Dependent2.lagda │ ├── Dependent3.lagda │ ├── EquivEquiv.agda │ ├── FiniteFunctions.agda │ ├── ISEquiv.lagda │ ├── Multiset-Bleeding-SET.lagda │ ├── Multiset-Bleeding-SetoidMembership.lagda │ ├── Multiset-Bleeding.lagda │ ├── Multiset.lagda │ ├── ParComp.lagda │ ├── Proofs.agda │ ├── RATH.lagda │ ├── SetoidEquiv.lagda │ ├── SetoidFamilyUnion.lagda │ ├── SetoidOfIsos.lagda │ ├── SetoidSetoid.lagda │ ├── Sidequest.lagda │ ├── Sidequest │ │ ├── Equality.lagda │ │ ├── Permutations │ │ │ ├── ActionProperties.lagda │ │ │ ├── BagEquality.lagda │ │ │ ├── Basic.lagda │ │ │ ├── FinUtils.lagda │ │ │ ├── Group.lagda │ │ │ ├── PermutationSequences.lagda │ │ │ ├── SME.lagda │ │ │ ├── Testing.lagda │ │ │ └── Vector.lagda │ │ └── SummerHole.lagda │ ├── Some-Alt.lagda │ ├── Some.lagda │ ├── SubstLemmas.agda │ ├── TypeEquivEquiv.agda │ └── VectorLemmas.agda ├── First.lagda ├── IndexedUnaryAlgebra.lagda ├── Indistinguishable.lagda ├── InvolutiveAlgebra.lagda ├── Magma.lagda ├── Monoid.lagda ├── OneCat.lagda ├── Pointed.lagda ├── Rel.lagda ├── RightUnar.lagda ├── 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