Theorems · Theorem · category theory

Bimod.LeftUnitorBimod.inv_hom_id

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.Limits.HasCoequalizers C] {R S : CategoryTheory.Mon C} (P : Bimod R S),
  CategoryTheory.CategoryStruct.comp (Bimod.LeftUnitorBimod.inv P) (Bimod.LeftUnitorBimod.hom P) =
    CategoryTheory.CategoryStruct.id P.X

Defined in

Mathlib.CategoryTheory.Monoidal.Bimod

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Limits.HasCoequalizers