Theorems · Theorem · category theory

CategoryTheory.Equivalence.symmEquivInverse_obj_counitIso_hom

∀ (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] (X : (D ≌ C)ᵒᵖ),
  ((CategoryTheory.Equivalence.symmEquivInverse C D).obj X).counitIso.hom = (Opposite.unop X).unitIso.inv

Defined in

Mathlib.CategoryTheory.Equivalence.Symmetry

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category