Theorems · Theorem · category theory

Bimod.TensorBimod.actRight.congr_simp

∀ {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)
  [inst_3 :
    ∀ (X : C),
      CategoryTheory.Limits.PreservesColimitsOfSize.{0, 0, v₁, v₁, u₁, u₁}
        (CategoryTheory.MonoidalCategory.tensorRight X)],
  Bimod.TensorBimod.actRight P Q = Bimod.TensorBimod.actRight P Q

Defined in

Mathlib.CategoryTheory.Monoidal.Bimod

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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