Theorems · Definition · category theory

CategoryTheory.LaxMonoidalFunctor.Hom.mk.noConfusion

{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} →
              {P : Sort u} →
                {hom : F.toFunctor ⟶ G.toFunctor} →
                  {isMonoidal :
                      autoParam (CategoryTheory.NatTrans.IsMonoidal hom)
                        CategoryTheory.LaxMonoidalFunctor.Hom.isMonoidal._autoParam} →
                    {hom' : F.toFunctor ⟶ G.toFunctor} →
                      {isMonoidal' :
                          autoParam (CategoryTheory.NatTrans.IsMonoidal hom')
                            CategoryTheory.LaxMonoidalFunctor.Hom.isMonoidal._autoParam} →
                        { hom := hom, isMonoidal := isMonoidal } = { hom := hom', isMonoidal := isMonoidal' } →
                          (hom ≍ hom' → P) → P

Defined in

Mathlib.CategoryTheory.Monoidal.NaturalTransformation

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound