Theorems · Theorem · category theory
CategoryTheory.Core.inclusion_comp_functorToCore
∀ {G : Type u₂} [inst : CategoryTheory.Groupoid G],
(CategoryTheory.Core.inclusion G).comp (CategoryTheory.Core.functorToCore (CategoryTheory.Functor.id G)) =
CategoryTheory.Functor.id (CategoryTheory.Core G)- Defined in
- Mathlib.CategoryTheory.Core
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Corestatement and proof · cited by 85
- CategoryTheory.Functor.ext_of_isoproof · cited by 28
- CategoryTheory.Core.inclusionstatement and proof · cited by 17
- CategoryTheory.Core.functorToCorestatement and proof · cited by 7
- CategoryTheory.Core.inclusionCompFunctorToCoreIsoproof · cited by 1
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