Theorems · Theorem · category theory

CategoryTheory.LaxMonoidalFunctor.comp_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory D]
  {F G H : CategoryTheory.LaxMonoidalFunctor C D} (α : F ⟶ G) (β : G ⟶ H),
  (CategoryTheory.CategoryStruct.comp α β).hom = CategoryTheory.CategoryStruct.comp α.hom β.hom

Defined in

Mathlib.CategoryTheory.Monoidal.NaturalTransformation

Cited by

1 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory