Theorems · Theorem · category theory

CategoryTheory.ModObj.leftSMul_snd

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {M : C}
  [inst_2 : CategoryTheory.MonObj M] {X : C} [inst_3 : CategoryTheory.ModObj M X],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.ModObj.leftSMul M X)
      (CategoryTheory.SemiCartesianMonoidalCategory.snd X X) =
    CategoryTheory.SemiCartesianMonoidalCategory.snd M X

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mod

Cited by

3 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObjCategoryTheory.ModObj