Theorems · Definition · ring theory
MonoidAlgebra.bialgEquivOfSubsingleton
{R : Type u_1} →
(M : Type u_8) → [inst : CommSemiring R] → [inst_1 : Monoid M] → [Subsingleton M] → MonoidAlgebra R M ≃ₐc[R] RThe trivial monoid algebra is isomorphic to the base ring.
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- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Algebra.algebraMapproof · cited by 4,706
- Monoidstatement and proof · cited by 3,887
- MonoidAlgebrastatement and proof · cited by 590
- BialgHomproof · cited by 190
- BialgEquivstatement · cited by 88
- BialgHom.toCoalgHomproof · cited by 7
- Bialgebra.counitBialgHomproof · cited by 4
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