Theorems · Theorem · category theory

CategoryTheory.CategoryOfElements.isoMk_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor C (Type w)} (x y : F.Elements)
  (e : x.fst ≅ y.fst) (he : (CategoryTheory.ConcreteCategory.hom (F.map e.hom)) x.snd = y.snd),
  (CategoryTheory.CategoryOfElements.isoMk x y e he).inv = CategoryTheory.CategoryOfElements.homMk y x e.inv ⋯

Defined in

Mathlib.CategoryTheory.Elements

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category