Theorems · Theorem · category theory
CommHopfAlgCat.isoEquivBialgEquiv_apply
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : CommRing X] [inst_2 : HopfAlgebra R X] [inst_3 : CommRing Y]
[inst_4 : HopfAlgebra R Y]
(i : { X := X, commRing := inst_1, hopfAlgebra := inst_2 } ≅ { X := Y, commRing := inst_3, hopfAlgebra := inst_4 }),
CommHopfAlgCat.isoEquivBialgEquiv i = CommHopfAlgCat.ofIso i- Defined in
- Mathlib.Algebra.Category.CommHopfAlgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- CategoryTheory.Isostatement and proof · cited by 3,963
- BialgEquivstatement · cited by 88
- HopfAlgebrastatement and proof · cited by 59
- CommHopfAlgCatstatement · cited by 38
- CommHopfAlgCat.Xstatement · cited by 30
- CommHopfAlgCat.ofIsostatement · cited by 3
- CommHopfAlgCat.isoEquivBialgEquivstatement and proof · cited by 2
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