Theorems · Theorem · ring theory
MonoidAlgebra.uniqueRingEquiv_apply
∀ {R : Type u_1} (M : Type u_4) [inst : Semiring R] [inst_1 : Monoid M] [inst_2 : Subsingleton M]
(a : MonoidAlgebra R M), (MonoidAlgebra.uniqueRingEquiv M) a = a.coeff 1- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMonoidSubsingleton
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Cites8
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
- Finsuppstatement · cited by 5,255
- Monoidstatement and proof · cited by 3,887
- RingEquivstatement · cited by 1,147
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- MonoidAlgebra.uniqueRingEquivstatement and proof · cited by 7
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