Theorems · Theorem · ring theory
MonoidAlgebra.coeff_supportedEquivFinsupp_symm_apply_coe_support_val
∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Module R S]
(s : Set M) (a : ↑s →₀ S),
(↑((MonoidAlgebra.supportedEquivFinsupp s).symm a)).coeff.support.val = Multiset.map Subtype.val a.support.val- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Submodulestatement · cited by 7,192
- Set.Elemstatement and proof · cited by 7,166
- Finsuppstatement and proof · cited by 5,255
- LinearEquivstatement · cited by 3,317
- Multisetstatement · cited by 2,627
- LinearEquiv.symmstatement · cited by 1,461
- Multiset.mapstatement and proof · cited by 876
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