Theorems · Theorem · category theory

CategoryTheory.Functor.mapAddGrpNatIso_hom_app_hom_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {D : Type u₂} [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.CartesianMonoidalCategory D]
  {F F' : CategoryTheory.Functor C D} [inst_4 : F.Monoidal] [inst_5 : F'.Monoidal] (e : F ≅ F')
  (X : CategoryTheory.AddGrp C), ((CategoryTheory.Functor.mapAddGrpNatIso e).hom.app X).hom.hom = e.hom.app X.X

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

0 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.Functor.MonoidalCategoryTheory.Functor.Monoidal