Theorems · Theorem · category theory

CategoryTheory.comp_over_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) (S : C)
  [inst_1 : CategoryTheory.OverClass X S] [inst_2 : CategoryTheory.OverClass Y S] [CategoryTheory.HomIsOver f S] {Z : C}
  (h : S ⟶ Z),
  CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp (Y ↘ S) h) =
    CategoryTheory.CategoryStruct.comp (X ↘ S) h

Defined in

Mathlib.CategoryTheory.Comma.Over.OverClass

Cited by

2 results in Mathlib

Foundations

Depth 12 from the axioms · uses Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.OverClassCategoryTheory.OverClassCategoryTheory.HomIsOver