Theorems · Inductive type · category theory

CategoryTheory.Mod

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (D : Type u₂) →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
          [CategoryTheory.MonoidalCategory.MonoidalLeftAction C D] →
            (A : C) → [CategoryTheory.MonObj A] → Type (max u₂ v₂)

A module object for a monoid object in a monoidal category acting on the ambient category.

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

25 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.MonObj