Theorems · Theorem · category theory

CategoryTheory.AddGrpObj.zero_neg_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {G : C}
  [inst_2 : CategoryTheory.AddGrpObj G] {Z : C} (h : G ⟶ Z),
  CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.zero
      (CategoryTheory.CategoryStruct.comp CategoryTheory.AddGrpObj.neg h) =
    CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.zero h

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
Cited by: 0 results in Mathlib
Foundations: Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.AddGrpObj

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

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 and proof · cited by 32,603
CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
CategoryTheory.Category.assocproof · cited by 6,433
CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.AddMonObj.zerostatement and proof · cited by 100
CategoryTheory.AddGrpObjstatement and proof · cited by 88
CategoryTheory.AddGrpObj.negstatement and proof · cited by 44
CategoryTheory.AddGrpObj.zero_negproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.