Theorems · Theorem · category theory

CategoryTheory.Functor.obj.neg_def

∀ {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 : CategoryTheory.Functor C D} [inst_4 : F.Monoidal] {G : C} [inst_5 : CategoryTheory.AddGrpObj G],
  CategoryTheory.AddGrpObj.neg = F.map CategoryTheory.AddGrpObj.neg

Defined in: Mathlib.CategoryTheory.Monoidal.Grp
Cited by: 1 results in Mathlib
Foundations: Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.Functor.Monoidal CategoryTheory.AddGrpObj

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Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.mapstatement · cited by 8,698
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.Functor.Monoidalstatement and proof · cited by 288
CategoryTheory.AddGrpObjstatement and proof · cited by 88
CategoryTheory.AddGrpObj.negstatement · cited by 44
CategoryTheory.Functor.addGrpObjObjstatement · cited by 4

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.Functor.obj.neg_def_assocproof · cited by 0