Theorems · Theorem · category theory
HopfAlgCat.associator_def
∀ (R : Type u) [inst : CommRing R] (X Y Z : HopfAlgCat R),
CategoryTheory.MonoidalCategoryStruct.associator X Y Z =
(Bialgebra.TensorProduct.assoc R R X.carrier Y.carrier Z.carrier).toHopfAlgIso- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Isostatement · cited by 3,963
- TensorProductstatement · cited by 2,545
- CategoryTheory.MonoidalCategoryStruct.associatorstatement and proof · cited by 667
- HopfAlgCatstatement and proof · cited by 31
- HopfAlgCat.carrierstatement · cited by 28
- HopfAlgCat.ofstatement · cited by 13
- BialgEquiv.toHopfAlgIsostatement · cited by 8
- Bialgebra.TensorProduct.assocstatement · cited by 6
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