Theorems · Theorem · ring theory
MonoidAlgebra.mapRangeAddEquiv_apply
Deprecated since 2026-03-20Use MonoidAlgebra.coeff_mapAddEquiv instead.
∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Mul M] (e : R ≃+ S)
(x : MonoidAlgebra R M) (m : M), ((MonoidAlgebra.mapAddEquiv M e) x).coeff m = e (x.coeff m)Alias of MonoidAlgebra.coeff_mapAddEquiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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 · cited by 62,936
- Semiringstatement · cited by 13,802
- Finsuppstatement · cited by 5,255
- AddEquivstatement · cited by 1,087
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- MonoidAlgebra.mapAddEquivstatement · cited by 12
- MonoidAlgebra.coeff_mapAddEquivproof · cited by 3
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