Theorems · Theorem · category theory

CategoryTheory.Equivalence.mapCommGrp_functor

∀ {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] (e : C ≌ D)
  [inst_6 : e.functor.Braided] [inst_7 : e.inverse.Braided], e.mapCommGrp.functor = e.functor.mapCommGrp

Defined in: Mathlib.CategoryTheory.Monoidal.CommGrp_
Cited by: 0 results in Mathlib
Foundations: Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.BraidedCategory CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.BraidedCategory CategoryTheory.Functor.Braided CategoryTheory.Functor.Braided

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.Equivalencestatement and proof · cited by 601
CategoryTheory.CommGrpstatement · cited by 74
CategoryTheory.Functor.Braidedstatement and proof · cited by 32
CategoryTheory.Functor.mapCommGrpstatement · cited by 25
CategoryTheory.Equivalence.mapCommGrpstatement and proof · cited by 4

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