Theorems · Theorem · ring theory
BialgEquiv.toBialgHom_toAlgHom
Deprecated since 2026-04-30Mathlib marks this declaration as deprecated.
∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B]
(e : A ≃ₐc[R] B), ↑↑e = ↑e.toAlgEquiv- Defined in
- Mathlib.RingTheory.Bialgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- AlgEquiv.toAlgHomstatement · cited by 273
- CoalgebraStructstatement and proof · cited by 230
- BialgEquivstatement and proof · cited by 88
- BialgHom.toAlgHomstatement · cited by 38
- BialgHomClass.toBialgHomstatement · cited by 23
- BialgEquiv.toAlgEquivstatement · cited by 12
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