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`riesz_fischer` : CompleteSpace Ell2 ∧ ∀ f : Ell2, HasSum (fun i => lp.single 2 i ((f : ℕ → ℝ) i)) f

Proved
riesz_fischer

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPaFreeCompletion.

riesz_fischer : CompleteSpace Ell2 ∧ ∀ f : Ell2, HasSum (fun i => lp.single 2 i ((f : ℕ → ℝ) i)) f

Formalization note: Lean 4 identifier riesz_fischer.

Preamble
-- Generated from ChapterPaFreeCompletion.lean — theorem riesz_fischer
import Mathlib
import Definitions.Def_ChapterPaFreeCompletion
import Definitions.Def_ChapterRieszFischer
import Definitions.Def_ChapterA4
open BookProof.ChapterRieszFischer


open Set
open Filter
open BookProof.ChapterRieszFischer
Formal statement
theorem riesz_fischer :
    CompleteSpace Ell2 ∧
      ∀ f : Ell2, HasSum (fun i => lp.single 2 i ((f : ℕ → ℝ) i)) f := by sorry

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