Theorems · Theorem · category theory
CategoryTheory.Preadditive.commGrpEquivalence_counitIso_hom_app_hom_hom_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.CartesianMonoidalCategory C] [inst_3 : CategoryTheory.BraidedCategory C]
(X : CategoryTheory.CommGrp C),
(CategoryTheory.Preadditive.commGrpEquivalence.counitIso.hom.app X).hom.hom.hom = CategoryTheory.CategoryStruct.id X.X- Cited by
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- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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 · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
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