Theorems · Definition · category theory
HopfAlgCat.of
(R : Type u) → [inst : CommRing R] → (X : Type v) → [inst_1 : Ring X] → [HopfAlgebra R X] → HopfAlgCat R
The object in the category of R-Hopf algebras associated to an R-Hopf algebra.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- CommRingRingHopfAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Ringstatement and proof · cited by 7,463
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgCatstatement · cited by 31
Cited by15
Results whose statement or proof uses this declaration.
- BialgEquiv.toHopfAlgIsostatement · cited by 8
- HopfAlgCat.ofHomstatement · cited by 5
- BialgEquiv.toHopfAlgIso_reflstatement · cited by 0
- BialgEquiv.toHopfAlgIso_symmstatement · cited by 0
- BialgEquiv.toHopfAlgIso_transstatement · cited by 0
- HopfAlgCat.tensorHom_defstatement · cited by 0
- HopfAlgCat.associator_defstatement · cited by 0
- HopfAlgCat.whiskerLeft_defstatement · cited by 0
- HopfAlgCat.whiskerRight_defstatement · cited by 0
- HopfAlgCat.rightUnitor_defstatement · cited by 0
- HopfAlgCat.leftUnitor_defstatement · cited by 0
- HopfAlgCat.of_comulstatement · cited by 0