Theorems · Theorem · category theory
CategoryTheory.Preadditive.commGrpEquivalence_functor_map_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 Y : C}
(f : X ⟶ Y), (CategoryTheory.Preadditive.commGrpEquivalence.functor.map f).hom.hom.hom = f- Cited by
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- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- 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
- CategoryTheory.Mon.Hom.homstatement and proof · cited by 200
- CategoryTheory.Grpstatement · cited by 144
- CategoryTheory.Grp.toMonstatement · cited by 80
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