Theorems · Theorem · linear algebra

Finsupp.supportedEquivFinsupp_apply_support_val

∀ {α : Type u_1} {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (s : Set α) (a : ↥(Finsupp.supported M R s)),
  ((Finsupp.supportedEquivFinsupp s) a).support.val =
    Multiset.map (fun x => ⟨↑x, ⋯⟩) (Multiset.filter (fun x => x ∈ s) (↑a).support.val).attach

Defined in

Mathlib.LinearAlgebra.Finsupp.Supported

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule