Theorems · Theorem · category theory

CategoryTheory.Iso.isoFunctorOfIsoInverse_isoInverseOfIsoFunctor

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {G G' : C ≌ D} (i : G.functor ≅ G'.functor), i.isoInverseOfIsoFunctor.isoFunctorOfIsoInverse = i

Sanity check: isoFunctorOfIsoInverse (isoInverseOfIsoFunctor i) is just i.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

1 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category