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Theorems · Inductive type · category theory

CategoryTheory.Core

Type u₁ → Type u₁

The core of a category C is the groupoid whose morphisms are all the isomorphisms of C.

Defined in
Mathlib.CategoryTheory.Core
Cited by
85 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Core.of · cited by 94Core.ofCategoryTheory.CoreHom.iso · cited by 76CoreHom.isoCategoryTheory.Functor.core · cited by 36Functor.coreCategoryTheory.Core.inclusion · cited by 17Core.inclusionCategoryTheory.Equivalence.core · cited by 14Equivalence.coreCategoryTheory.Iso.core · cited by 11Iso.coreCategoryTheory.Functor.coreComp · cited by 9Functor.coreCompCategoryTheory.Core.functorToCore · cited by 7Core.functorToCoreCategoryTheory.Functor.coreId · cited by 6Functor.coreIdCategoryTheory.CoreHom · cited by 6CategoryTheory.CoreHomCategoryTheory.Core.hom_ext · cited by 6Core.hom_extCategoryTheory.coreFunctor · cited by 5CategoryTheory.coreFunctorCategoryTheory.Functor.coreCompInclusionIso · cited by 3Functor.coreCompInclusion…CategoryTheory.Core.forgetFunctorToCore · cited by 3Core.forgetFunctorToCoreCategoryTheory.CoreHom.ext · cited by 3CoreHom.extCategoryTheory.CoreCITED BYCITES

Cites0

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Nothing in Mathlib beyond the foundations.

Cited by116

Results whose statement or proof uses this declaration.