Theorems · Theorem · category theory

CategoryTheory.Mathlib.Tactic.MonTauto.leftUnitor_inv_one_tensor_mul

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {M X₁ : C}
  [inst_2 : CategoryTheory.MonObj M] (f : X₁ ⟶ M),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.leftUnitor X₁).inv
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.tensorHom CategoryTheory.MonObj.one f)
        CategoryTheory.MonObj.mul) =
    f

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

1 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonObj