`BookProof.HermiteStrichartzQG.inner_hermiteLp_eq_zero_iff` {w : L2R} : (∀ n : ℕ, (inner ℂ (hermiteLp n) w : ℂ) = 0) ↔ w = 0

Proved

BookProof.HermiteStrichartzQG.inner_hermiteLp_eq_zero_iff

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.inner_hermiteLp_eq_zero_iff {w : L2R} : (∀ n : ℕ, (inner ℂ (hermiteLp n) w : ℂ) = 0) ↔ w = 0

Formalization note: Lean 4 identifier BookProof.HermiteStrichartzQG.inner_hermiteLp_eq_zero_iff.

Preamble

-- Generated from ChapterStrichartzHermiteQG.lean — theorem BookProof.HermiteStrichartzQG.inner_hermiteLp_eq_zero_iff
import Definitions.Def_ChapterQuantumGravityDensitized
import Mathlib
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterHermiteFunctions
open BookProof.FarisLavine
open BookProof.HermiteCore
open BookProof.HermiteStrichartzQG



open MeasureTheory BookProof.HermiteCore BookProof.FarisLavine
open BookProof.QuantumGravityDensitized

Formal statement

theorem BookProof.HermiteStrichartzQG.inner_hermiteLp_eq_zero_iff {w : L2R} :
    (∀ n : ℕ, (inner ℂ (hermiteLp n) w : ℂ) = 0) ↔ w = 0 := by sorry

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