Theorems · Theorem · ring theory
MonoidAlgebra.toAdditiveBialgEquiv_single
∀ {R : Type u_1} {A : Type u_3} {M : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Bialgebra R A]
[inst_3 : Monoid M] (m : M) (a : A),
(MonoidAlgebra.toAdditiveBialgEquiv R A M) (MonoidAlgebra.single m a) = AddMonoidAlgebra.single (Additive.ofMul m) a- Cited by
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- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- AddMonoidAlgebrastatement · cited by 649
- MonoidAlgebrastatement · cited by 590
- Additivestatement · cited by 356
- MonoidAlgebra.singlestatement and proof · cited by 253
- AddMonoidAlgebra.singlestatement and proof · cited by 250
- Bialgebrastatement and proof · cited by 160
- Additive.ofMulstatement and proof · cited by 155
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