`BookProof.SqueezedGaussStates.opCoef_of_lt` (α γ v : ℝ) {M k : ℕ} (hk : k < M) : opCoef α γ v M k = kappa α γ v * sqCoef v M k

Proved

BookProof.SqueezedGaussStates.opCoef_of_lt

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSqueezedGaussStates.

BookProof.SqueezedGaussStates.opCoef_of_lt (α γ v : ℝ) {M k : ℕ} (hk : k < M) : opCoef α γ v M k = kappa α γ v * sqCoef v M k

Formalization note: Lean 4 identifier BookProof.SqueezedGaussStates.opCoef_of_lt.

Preamble

-- Generated from ChapterSqueezedGaussStates.lean — theorem BookProof.SqueezedGaussStates.opCoef_of_lt
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterGaussCoordCombo
import Mathlib
import Definitions.Def_ChapterSqueezedGaussStates
open BookProof.SqueezedGaussStates



open MvPolynomial BookProof.HermiteProductCore BookProof.GaussCoordCombo

noncomputable section

variable {d : ℕ}

Formal statement

theorem BookProof.SqueezedGaussStates.opCoef_of_lt (α γ v : ℝ) {M k : ℕ} (hk : k < M) :
    opCoef α γ v M k = kappa α γ v * sqCoef v M k := by sorry

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