Theorems · Theorem · category theory

CategoryTheory.Mod.comp_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D]
  {A : C} [inst_4 : CategoryTheory.MonObj A] {M N O : CategoryTheory.Mod D A} (f : M.Hom N) (g : N.Hom O),
  (CategoryTheory.Mod.comp f g).hom = CategoryTheory.CategoryStruct.comp f.hom g.hom

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.MonObj