`BookProof.SqueezedGaussStates.sqCoef_of_le` {v : ℝ} {M m : ℕ} (h : m ≤ M) : sqCoef v M m = v ^ m / (m.factorial : ℝ)

Proved

BookProof.SqueezedGaussStates.sqCoef_of_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSqueezedGaussStates.

BookProof.SqueezedGaussStates.sqCoef_of_le {v : ℝ} {M m : ℕ} (h : m ≤ M) : sqCoef v M m = v ^ m / (m.factorial : ℝ)

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

Preamble

-- Generated from ChapterSqueezedGaussStates.lean — theorem BookProof.SqueezedGaussStates.sqCoef_of_le
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.sqCoef_of_le {v : ℝ} {M m : ℕ} (h : m ≤ M) :
    sqCoef v M m = v ^ m / (m.factorial : ℝ) := by sorry

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