Theorems · Theorem · category theory
CommBialgCat.isoEquivBialgEquiv_symm_apply
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : CommRing X] [inst_2 : Bialgebra R X] [inst_3 : CommRing Y]
[inst_4 : Bialgebra R Y] (e : X ≃ₐc[R] Y), CommBialgCat.isoEquivBialgEquiv.symm e = CommBialgCat.isoMk e- Defined in
- Mathlib.Algebra.Category.CommBialgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Quot.sound
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Cites11
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 · cited by 3,963
- Equiv.symmstatement and proof · cited by 3,681
- Bialgebrastatement and proof · cited by 160
- BialgEquivstatement and proof · cited by 88
- CommBialgCatstatement · cited by 38
- CommBialgCat.ofstatement · cited by 19
- CommBialgCat.isoMkstatement · cited by 3
- CommBialgCat.isoEquivBialgEquivstatement and proof · cited by 2
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