Theorems · Theorem · category theory
CategoryTheory.AddGrpObj.zero_neg
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {G : C}
[inst_2 : CategoryTheory.AddGrpObj G],
CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.zero CategoryTheory.AddGrpObj.neg =
CategoryTheory.AddMonObj.zero- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- neg_zeroproof · cited by 542
- CategoryTheory.AddMonObj.zerostatement · cited by 100
- CategoryTheory.AddGrpObjstatement and proof · cited by 88
- CategoryTheory.AddGrpObj.negstatement · cited by 44
- CategoryTheory.AddGrpObj.comp_negproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.zero_neg_assocproof · cited by 0