Theorems · Definition · category theory

CategoryTheory.ModObj.leftSMul

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      (M : C) →
        [inst_2 : CategoryTheory.MonObj M] →
          (X : C) →
            [CategoryTheory.ModObj M X] →
              CategoryTheory.MonoidalCategoryStruct.tensorObj M X ⟶ CategoryTheory.MonoidalCategoryStruct.tensorObj X X

The morphism (m, x) ↦ (m • x, x).

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mod

Cited by

8 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObjCategoryTheory.ModObj