Theorems · Theorem · category theory

CategoryTheory.MonObj.ofIso_mul

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {M X : C}
  [inst_2 : CategoryTheory.MonObj M] (e : M ≅ X),
  CategoryTheory.MonObj.mul =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.tensorHom e.inv e.inv)
      (CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.mul e.hom)

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

2 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonObj