Theorems · Theorem · ring theory
MonoidAlgebra.mapDomainAddEquiv_apply
Deprecated since 2026-06-18Use MonoidAlgebra.coeff_mapDomainAddEquiv instead.
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Mul M] [inst_2 : Mul N] (e : M ≃ N)
(x : MonoidAlgebra R M), ((MonoidAlgebra.mapDomainAddEquiv R e) x).coeff = Finsupp.equivMapDomain e x.coeffAlias of MonoidAlgebra.coeff_mapDomainAddEquiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
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
- Equivstatement · cited by 8,337
- Finsuppstatement · cited by 5,255
- AddEquivstatement · cited by 1,087
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- Finsupp.equivMapDomainstatement · cited by 35
- MonoidAlgebra.mapDomainAddEquivstatement · cited by 8
- MonoidAlgebra.coeff_mapDomainAddEquivproof · cited by 3
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