Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.map_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  (P : CategoryTheory.MorphismProperty C) (F : CategoryTheory.Functor C D) {E : Type u_2}
  [inst_2 : CategoryTheory.Category.{v_2, u_2} E] (G : CategoryTheory.Functor D E), (P.map F).map G = P.map (F.comp G)

Defined in

Mathlib.CategoryTheory.MorphismProperty.Basic

Cited by

4 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category