Theorems · Theorem · ring theory
BialgEquiv.toAlgEquiv_eq_coe
Deprecated since 2026-04-09Mathlib 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]
(f : A ≃ₐc[R] B), f.toAlgEquiv = f.toAlgEquiv- Defined in
- Mathlib.RingTheory.Bialgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AlgEquivstatement · cited by 1,681
- CoalgebraStructstatement and proof · cited by 230
- BialgEquivstatement and proof · cited by 88
- BialgEquiv.toAlgEquivstatement · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.