Theorems · Theorem · category theory

CategoryTheory.eqToHom_map_comp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) {X Y Z : C} (p : X = Y) (q : Y = Z),
  CategoryTheory.CategoryStruct.comp (F.map (CategoryTheory.eqToHom p)) (F.map (CategoryTheory.eqToHom q)) =
    F.map (CategoryTheory.eqToHom ⋯)

Defined in

Mathlib.CategoryTheory.EqToHom

Cited by

7 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category