Theorems · Definition · category theory

CategoryTheory.Equivalence.counitIso

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (self : C ≌ D) → self.inverse.comp self.functor ≅ CategoryTheory.Functor.id D

The composition inverse ⋙ functor is isomorphic to the identity.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

480 results in Mathlib

Foundations

Depth 20 from the axioms, rests on 111 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category