Theorems · Theorem · category theory

CategoryTheory.Localization.isoOfHom_unop

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (L : CategoryTheory.Functor C D)
  (W : CategoryTheory.MorphismProperty C) [inst_2 : L.IsLocalization W] {X Y : Cᵒᵖ} (w : X ⟶ Y) (hw : W.op w),
  (CategoryTheory.Localization.isoOfHom L.op W.op w hw).unop = CategoryTheory.Localization.isoOfHom L W w.unop hw

Defined in

Mathlib.CategoryTheory.Localization.Opposite

Cited by

1 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalization