Theorems · Definition · category theory

Bimod.TensorBimod.actRight

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.Limits.HasCoequalizers C] →
        {R S T : CategoryTheory.Mon C} →
          (P : Bimod R S) →
            (Q : Bimod S T) →
              [∀ (X : C),
                    CategoryTheory.Limits.PreservesColimitsOfSize.{0, 0, v₁, v₁, u₁, u₁}
                      (CategoryTheory.MonoidalCategory.tensorRight X)] →
                CategoryTheory.MonoidalCategoryStruct.tensorObj (Bimod.TensorBimod.X P Q) T.X ⟶ Bimod.TensorBimod.X P Q

Right action for the tensor product of two bimodules.

Defined in

Mathlib.CategoryTheory.Monoidal.Bimod

Cited by

14 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Limits.HasCoequalizersCategoryTheory.Limits.PreservesColimitsOfSize