`BookProof.ChapterDisplacedThermalMulti.dtOverlapMulti_pos` (nbar : ℝ≥0) (a b : EuclideanSpace ℝ (Fin n)) : 0 < dtOverlapMulti nbar a b

Proved

BookProof.ChapterDisplacedThermalMulti.dtOverlapMulti_pos

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDisplacedThermalMulti.

BookProof.ChapterDisplacedThermalMulti.dtOverlapMulti_pos (nbar : ℝ≥0) (a b : EuclideanSpace ℝ (Fin n)) : 0 < dtOverlapMulti nbar a b

Formalization note: Lean 4 identifier BookProof.ChapterDisplacedThermalMulti.dtOverlapMulti_pos.

Preamble

-- Generated from ChapterDisplacedThermalMulti.lean — theorem BookProof.ChapterDisplacedThermalMulti.dtOverlapMulti_pos
import Mathlib
import Definitions.Def_ChapterDisplacedThermalMulti
import Definitions.Def_ChapterDisplacedThermalOverlap
open BookProof.ChapterDisplacedThermalOverlap
open BookProof.ChapterDisplacedThermalMulti


noncomputable section

open MeasureTheory ProbabilityTheory Real
open scoped NNReal


open BookProof.ChapterDisplacedThermalOverlap

variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterDisplacedThermalMulti.dtOverlapMulti_pos (nbar : ℝ≥0) (a b : EuclideanSpace ℝ (Fin n)) :
    0 < dtOverlapMulti nbar a b := by sorry

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