Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.MapFactorizationData.fac_assoc

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W₁ W₂ : CategoryTheory.MorphismProperty C} {X Y : C}
  {f : X ⟶ Y} (self : W₁.MapFactorizationData W₂ f) {Z : C} (h : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp self.i (CategoryTheory.CategoryStruct.comp self.p h) =
    CategoryTheory.CategoryStruct.comp f h

Defined in

Mathlib.CategoryTheory.MorphismProperty.Factorization

Cited by

5 results in Mathlib

Foundations

Depth 7 from the axioms · uses Quot.sound

Assumes

CategoryTheory.Category