Theorems · Definition · category theory

CategoryTheory.Localization.SmallHom.mkInv

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {W : CategoryTheory.MorphismProperty C} →
      {X Y : C} →
        (f : Y ⟶ X) →
          W f →
            [inst_1 : CategoryTheory.Localization.HasSmallLocalizedHom W X Y] →
              CategoryTheory.Localization.SmallHom W X Y

The formal inverse in SmallHom W X Y of a morphism f : Y ⟶ X such that W f.

Defined in

Mathlib.CategoryTheory.Localization.SmallHom

Cited by

5 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Localization.HasSmallLocalizedHom