Theorems · Theorem · category theory
BialgEquiv.toHopfAlgIso_symm
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : Ring X] [inst_2 : Ring Y] [inst_3 : HopfAlgebra R X]
[inst_4 : HopfAlgebra R Y] (e : X ≃ₐc[R] Y), e.symm.toHopfAlgIso = e.toHopfAlgIso.symm- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, 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.
- CommRingstatement and proof · cited by 17,173
- Ringstatement and proof · cited by 7,463
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Iso.symmstatement · cited by 993
- BialgEquivstatement and proof · cited by 88
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgCatstatement · cited by 31
- BialgEquiv.symmstatement · cited by 21
- HopfAlgCat.ofstatement · cited by 13
- BialgEquiv.toHopfAlgIsostatement · cited by 8
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