Theorems · Theorem · category theory
CategoryTheory.Functor.mapCommGrpIdIso_inv_app_hom_hom_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] (X : CategoryTheory.CommGrp C),
(CategoryTheory.Functor.mapCommGrpIdIso.inv.app X).hom.hom.hom = CategoryTheory.CategoryStruct.id X.X- Defined in
- Mathlib.CategoryTheory.Monoidal.CommGrp_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
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