Theorems · Definition · category theory

CategoryTheory.Equivalence.symmEquivInverse

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (D : Type u_2) → [inst_1 : CategoryTheory.Category.{v_2, u_2} D] → CategoryTheory.Functor (D ≌ C)ᵒᵖ (C ≌ D)

The inverse functor of the equivalence (C ≌ D) ≌ (D ≌ C)ᵒᵖ.

Defined in

Mathlib.CategoryTheory.Equivalence.Symmetry

Cited by

10 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category