Theorems · Theorem · category theory
CategoryTheory.Equivalence.changeFunctor_refl
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(e : C ≌ D), e.changeFunctor (CategoryTheory.Iso.refl e.functor) = eCompatibility of changeFunctor with identity isomorphisms of functors
- Defined in
- Mathlib.CategoryTheory.Equivalence
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.Iso.reflstatement and proof · cited by 727
- CategoryTheory.Functor.map_idproof · cited by 616
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.