Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.id_tensor_rightUnitor_inv

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C] (X Y : C),
  CategoryTheory.MonoidalCategoryStruct.tensorHom (CategoryTheory.CategoryStruct.id X)
      (CategoryTheory.MonoidalCategoryStruct.rightUnitor Y).inv =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.rightUnitor (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y)).inv
      (CategoryTheory.MonoidalCategoryStruct.associator X Y (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom

Defined in

Mathlib.CategoryTheory.Monoidal.CoherenceLemmas

Cited by

1 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory