Theorems · Theorem · category theory

CategoryTheory.IsMonHom.monoidHom_comp

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {M N O X : C} [inst_2 : CategoryTheory.MonObj M] [inst_3 : CategoryTheory.MonObj N] [inst_4 : CategoryTheory.MonObj O]
  (f : M ⟶ N) (g : N ⟶ O) [inst_5 : CategoryTheory.IsMonHom f] [inst_6 : CategoryTheory.IsMonHom g],
  CategoryTheory.IsMonHom.monoidHom (CategoryTheory.CategoryStruct.comp f g) X =
    (CategoryTheory.IsMonHom.monoidHom g X).comp (CategoryTheory.IsMonHom.monoidHom f X)

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObjCategoryTheory.MonObjCategoryTheory.MonObjCategoryTheory.IsMonHomCategoryTheory.IsMonHom