Theorems · Theorem · category theory
BialgEquiv.toBialgIso_symm
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : Ring X] [inst_2 : Ring Y] [inst_3 : Bialgebra R X]
[inst_4 : Bialgebra R Y] (e : X ≃ₐc[R] Y), e.symm.toBialgIso = e.toBialgIso.symm- Defined in
- Mathlib.Algebra.Category.BialgCat.Basic
- 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
- Bialgebrastatement and proof · cited by 160
- BialgEquivstatement and proof · cited by 88
- BialgCatstatement · cited by 40
- BialgEquiv.symmstatement · cited by 21
- BialgCat.ofstatement · cited by 17
- BialgEquiv.toBialgIsostatement · cited by 8
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