Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.LeftFraction.exists_rightFraction

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C}
  [W.HasRightCalculusOfFractions] {X Y : C} (φ : W.LeftFraction X Y),
  ∃ ψ, CategoryTheory.CategoryStruct.comp ψ.s φ.f = CategoryTheory.CategoryStruct.comp ψ.f φ.s

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

1 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasRightCalculusOfFractions