Theorems · Definition · category theory

CategoryTheory.LaxMonoidalFunctor.homMk

{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 : CategoryTheory.LaxMonoidalFunctor C D} →
              (f : F.toFunctor ⟶ G.toFunctor) → [CategoryTheory.NatTrans.IsMonoidal f] → F ⟶ G

Constructor for morphisms in the category LaxMonoidalFunctor C D.

Defined in

Mathlib.CategoryTheory.Monoidal.NaturalTransformation

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.NatTrans.IsMonoidal