Theorems · Theorem · category theory

CategoryTheory.MonObj.comp_mul

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {M X Y : C} [inst_2 : CategoryTheory.MonObj M] (f : X ⟶ Y) (g₁ g₂ : Y ⟶ M),
  CategoryTheory.CategoryStruct.comp f (g₁ * g₂) =
    CategoryTheory.CategoryStruct.comp f g₁ * CategoryTheory.CategoryStruct.comp f g₂

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

10 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObj