`BookProof.ChapterCoherentOccupation.coherentOccupation_nonneg` {lam : ℝ} (h : 0 ≤ lam) (n : ℕ) : 0 ≤ coherentOccupation lam n

Proved

BookProof.ChapterCoherentOccupation.coherentOccupation_nonneg

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOccupation.

BookProof.ChapterCoherentOccupation.coherentOccupation_nonneg {lam : ℝ} (h : 0 ≤ lam) (n : ℕ) : 0 ≤ coherentOccupation lam n

Formalization note: Lean 4 identifier BookProof.ChapterCoherentOccupation.coherentOccupation_nonneg.

Preamble

-- Generated from ChapterCoherentOccupation.lean — theorem BookProof.ChapterCoherentOccupation.coherentOccupation_nonneg
import Mathlib
import Definitions.Def_ChapterCoherentOccupation
open BookProof.ChapterCoherentOccupation


noncomputable section


open Real Nat ProbabilityTheory

Formal statement

theorem BookProof.ChapterCoherentOccupation.coherentOccupation_nonneg {lam : ℝ} (h : 0 ≤ lam) (n : ℕ) :
    0 ≤ coherentOccupation lam n := by sorry

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