Theorems · Theorem · category theory

CategoryTheory.Equivalence.inverse_counitInv_comp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (e : C ≌ D) (Y : D),
  CategoryTheory.CategoryStruct.comp (e.inverse.map (e.counitInv.app Y)) (e.unitInv.app (e.inverse.obj Y)) =
    CategoryTheory.CategoryStruct.id (e.inverse.obj Y)

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

2 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category