Theorems · Theorem · category theory
CategoryTheory.AddGrp.id_hom_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
(A : CategoryTheory.AddGrp C), (CategoryTheory.CategoryStruct.id A).hom.hom = CategoryTheory.CategoryStruct.id A.X- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, 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 · cited by 32,603
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.AddMonstatement · cited by 177
- CategoryTheory.AddMon.Xstatement · cited by 126
- CategoryTheory.AddMon.Hom.homstatement · cited by 94
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.Xstatement · cited by 64
- CategoryTheory.AddGrp.toAddMonstatement · cited by 51
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