Theorems · Theorem · category theory

CategoryTheory.LaxMonoidalFunctor.isoMk_inv

∀ {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} (e : F.toFunctor ≅ G.toFunctor)
  [inst_4 : CategoryTheory.NatTrans.IsMonoidal e.hom],
  (CategoryTheory.LaxMonoidalFunctor.isoMk e).inv = CategoryTheory.LaxMonoidalFunctor.homMk e.inv

Defined in

Mathlib.CategoryTheory.Monoidal.NaturalTransformation

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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