Theorems · Definition · category theory

CategoryTheory.Mod.forget

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {D : Type u₂} →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
          [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D] →
            (A : C) → [inst_4 : CategoryTheory.MonObj A] → CategoryTheory.Functor (CategoryTheory.Mod D A) D

The forgetful functor from module objects to the ambient category.

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

2 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

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