Theorems · Theorem · ring theory

MonoidAlgebra.supportedEquivFinsupp_apply_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) (x : ↥(MonoidAlgebra.supported R S s)),
  ((MonoidAlgebra.supportedEquivFinsupp s) x).support.val =
    Multiset.map (fun x_1 => ⟨↑x_1, ⋯⟩) (Multiset.filter (fun x => x ∈ s) (↑x).coeff.support.val).attach

Defined in

Mathlib.Algebra.MonoidAlgebra.Module

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModule