Theorems · Theorem · category theory
CategoryTheory.Functor.mapArrowEquivalence_counitIso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(e : C ≌ D),
(CategoryTheory.Functor.mapArrowEquivalence e).counitIso =
(CategoryTheory.Functor.mapArrowFunctor D D).mapIso e.counitIso- Defined in
- Mathlib.CategoryTheory.Comma.Arrow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.Equivalence.inversestatement · cited by 1,130
- CategoryTheory.Arrowstatement · cited by 713
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Equivalence.counitIsostatement and proof · cited by 480
- CategoryTheory.Functor.mapIsostatement · cited by 224
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.