`BookProof.ChapterRieszFischer.sum_single_mem_finSupport` (f : Ell2) (s : Finset ℕ) : (∑ i ∈ s, lp.single 2 i ((f : ℕ → ℝ) i)) ∈ FinSupport

Proved

BookProof.ChapterRieszFischer.sum_single_mem_finSupport

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRieszFischer.

BookProof.ChapterRieszFischer.sum_single_mem_finSupport (f : Ell2) (s : Finset ℕ) : (∑ i ∈ s, lp.single 2 i ((f : ℕ → ℝ) i)) ∈ FinSupport

Formalization note: Lean 4 identifier BookProof.ChapterRieszFischer.sum_single_mem_finSupport.

Preamble

-- Generated from ChapterRieszFischer.lean — theorem BookProof.ChapterRieszFischer.sum_single_mem_finSupport
import Mathlib
import Definitions.Def_ChapterRieszFischer
open BookProof.ChapterRieszFischer


open Filter
open scoped ENNReal

Formal statement

theorem BookProof.ChapterRieszFischer.sum_single_mem_finSupport (f : Ell2) (s : Finset ℕ) :
    (∑ i ∈ s, lp.single 2 i ((f : ℕ → ℝ) i)) ∈ FinSupport := by sorry

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