Theorems · Theorem · category theory

CategoryTheory.Functor.mapCommGrp_obj_X

∀ {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 : CategoryTheory.Functor C D) [inst_6 : F.Braided] (A : CategoryTheory.CommGrp C),
  (F.mapCommGrp.obj A).X = F.obj A.X

Defined in: Mathlib.CategoryTheory.Monoidal.CommGrp_
Cited by: 0 results in Mathlib
Foundations: Depth 41 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

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.CommGrpstatement and proof · cited by 74
CategoryTheory.CommGrp.Xstatement and proof · cited by 39
CategoryTheory.Functor.Braidedstatement and proof · cited by 32
CategoryTheory.Functor.mapCommGrpstatement and proof · cited by 25

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