Theorems · Theorem · category theory

CategoryTheory.Dial.triangle

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasFiniteProducts C]
  [inst_2 : CategoryTheory.Limits.HasPullbacks C] (X Y : CategoryTheory.Dial C),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.associator X
          (CategoryTheory.MonoidalCategoryStruct.tensorUnit (CategoryTheory.Dial C)) Y).hom
      (CategoryTheory.MonoidalCategoryStruct.tensorHom (CategoryTheory.CategoryStruct.id X)
        (CategoryTheory.MonoidalCategoryStruct.leftUnitor Y).hom) =
    CategoryTheory.MonoidalCategoryStruct.tensorHom (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom
      (CategoryTheory.CategoryStruct.id Y)

Defined in

Mathlib.CategoryTheory.Dialectica.Monoidal

Cited by

0 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProductsCategoryTheory.Limits.HasPullbacks