Theorems · Theorem · ring theory
MonoidAlgebra.coeff_toAdditiveAlgEquiv_symm_apply
∀ (R : Type u_1) (A : Type u_4) (M : Type u_7) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : Monoid M] (x : AddMonoidAlgebra A (Additive M)), ((MonoidAlgebra.toAdditiveAlgEquiv R A M).symm x).coeff = Finsupp.mapDomain (⇑Additive.toMul) x.coeff
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Finsuppstatement · cited by 5,255
- Monoidstatement and proof · cited by 3,887
- AlgEquivstatement · cited by 1,681
- AddMonoidAlgebrastatement and proof · cited by 649
- AlgEquiv.symmstatement and proof · cited by 615
- MonoidAlgebrastatement · cited by 590
- AddMonoidAlgebra.coeffstatement · cited by 365
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