Theorems · Theorem · category theory

CategoryTheory.Functor.mapCommMonNatIso.congr_simp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {D : Type u₂} [inst_3 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_4 : CategoryTheory.MonoidalCategory D] [inst_5 : CategoryTheory.BraidedCategory D]
  {F F' : CategoryTheory.Functor C D} [inst_6 : F.LaxBraided] [inst_7 : F'.LaxBraided] (e e_1 : F ≅ F') (e_e : e = e_1)
  [inst_8 : CategoryTheory.NatTrans.IsMonoidal e.hom],
  CategoryTheory.Functor.mapCommMonNatIso e = CategoryTheory.Functor.mapCommMonNatIso e_1

Defined in

Mathlib.CategoryTheory.Monoidal.CommMon_

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.Functor.LaxBraidedCategoryTheory.Functor.LaxBraidedCategoryTheory.NatTrans.IsMonoidal