Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.RightFraction.map_eq_iff

∀ {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] [W.HasRightCalculusOfFractions] {X Y : C}
  (φ ψ : W.RightFraction X Y), φ.map L ⋯ = ψ.map L ⋯ ↔ CategoryTheory.MorphismProperty.RightFractionRel φ ψ

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalizationCategoryTheory.MorphismProperty.HasRightCalculusOfFractions