Theorems · Definition · category theory

CategoryTheory.Equivalence.unitInv

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

The inverse of the unit of an equivalence of categories.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

41 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category