Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.LeftFraction.map_comp_map_s_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] {W : CategoryTheory.MorphismProperty C} {X Y : C}
  (φ : W.LeftFraction X Y) (L : CategoryTheory.Functor C D) (hL : W.IsInvertedBy L) {Z : D} (h : L.obj φ.Y' ⟶ Z),
  CategoryTheory.CategoryStruct.comp (φ.map L hL) (CategoryTheory.CategoryStruct.comp (L.map φ.s) h) =
    CategoryTheory.CategoryStruct.comp (L.map φ.f) h

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

6 results in Mathlib

Foundations

Depth 11 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category