Theorems · Definition · category theory

CategoryTheory.Equivalence.unitIso

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

The composition functor ⋙ inverse is isomorphic to the identity.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

536 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category