Theorems · Theorem · ring theory
MonoidAlgebra.coeff_mapDomainLinearMap
∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Semiring R] [inst_1 : Semiring S]
[inst_2 : Module R S] (f : M → N) (x : MonoidAlgebra S M),
((MonoidAlgebra.mapDomainLinearMap R S f) x).coeff = Finsupp.mapDomain f x.coeff- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Finsuppstatement · cited by 5,255
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- Finsupp.mapDomainstatement · cited by 168
- MonoidAlgebra.mapDomainLinearMapstatement · cited by 17
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