Theorems · Theorem · ring theory
Bialgebra.TensorProduct.rid_toAlgEquiv
∀ {R : Type u_1} {S : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Semiring A]
[inst_3 : Bialgebra S A] [inst_4 : Algebra R A] [inst_5 : Algebra R S] [inst_6 : IsScalarTower R S A],
(Bialgebra.TensorProduct.rid R S A).toAlgEquiv = Algebra.TensorProduct.rid R S A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Quot.sound
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Cites12
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
- IsScalarTowerstatement and proof · cited by 3,896
- TensorProductstatement and proof · cited by 2,545
- AlgEquivstatement · cited by 1,681
- Bialgebrastatement and proof · cited by 160
- AlgEquiv.extproof · cited by 60
- Algebra.TensorProduct.ridstatement · cited by 20
- BialgEquiv.toAlgEquivstatement · cited by 12
- Bialgebra.TensorProduct.ridstatement · cited by 6
- Bialgebra.TensorProduct.coalgebra_rid_eq_algebra_rid_applyproof · cited by 1
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