Theorems · Theorem · category theory

CategoryTheory.Functor.mapCommGrpNatIso_inv_app_hom_hom_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {D : Type u₂} [inst_3 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_4 : CategoryTheory.CartesianMonoidalCategory D] [inst_5 : CategoryTheory.BraidedCategory D]
  {F F' : CategoryTheory.Functor C D} [inst_6 : F.Braided] [inst_7 : F'.Braided] (e : F ≅ F')
  (X : CategoryTheory.CommGrp C), ((CategoryTheory.Functor.mapCommGrpNatIso e).inv.app X).hom.hom.hom = e.inv.app X.X

Defined in

Mathlib.CategoryTheory.Monoidal.CommGrp_

Cited by

0 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.Functor.BraidedCategoryTheory.Functor.Braided