Theorems · Theorem · category theory

CategoryTheory.Functor.map_mul

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v, u_1} C]
  [inst_1 : CategoryTheory.CartesianMonoidalCategory C] [inst_2 : CategoryTheory.Category.{w, u_2} D]
  [inst_3 : CategoryTheory.CartesianMonoidalCategory D] {M X : C} [inst_4 : CategoryTheory.MonObj M]
  (F : CategoryTheory.Functor C D) [inst_5 : F.Monoidal] (f g : X ⟶ M), F.map (f * g) = F.map f * F.map g

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

2 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObjCategoryTheory.Functor.Monoidal