Theorems · Theorem · category theory
CategoryTheory.AddGrp.Hom.hom_add
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {G H : CategoryTheory.AddGrp C}
[inst_3 : CategoryTheory.IsCommAddMonObj H.X] (f g : G ⟶ H), (f + g).hom = f.hom + g.hom- Cited by
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- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.AddMonstatement · cited by 177
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.Xstatement and proof · cited by 64
- CategoryTheory.AddGrp.toAddMonstatement · cited by 51
- CategoryTheory.Hom.addMonoidstatement · cited by 44
- CategoryTheory.IsCommAddMonObjstatement and proof · cited by 23
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