Theorems · Theorem · category theory

CategoryTheory.Localization.isoOfHom_inv_hom_id_assoc

∀ {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 : C} (f : X ⟶ Y) (hf : W f) {Z : D}
  (h : L.obj Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Localization.isoOfHom L W f hf).inv
      (CategoryTheory.CategoryStruct.comp (L.map f) h) =
    h

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalization