Theorems · Theorem · category theory

CategoryTheory.Equivalence.symmEquivFunctor_map

∀ (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] {e f : C ≌ D} (α : e ⟶ f),
  (CategoryTheory.Equivalence.symmEquivFunctor C D).map α =
    (CategoryTheory.Equivalence.mkHom
        ((CategoryTheory.conjugateEquiv f.toAdjunction e.toAdjunction) (CategoryTheory.Equivalence.asNatTrans α))).op

Defined in

Mathlib.CategoryTheory.Equivalence.Symmetry

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category