`BookProof.ChapterDisplacedThermalOverlap.dtOverlap_lt_of_dist_lt` (nbar : ℝ≥0) {a b c : ℝ} (h : (a - b) ^ 2 < (a - c) ^ 2) : dtOverlap nbar a c < dtOverlap nbar a b

Proved

BookProof.ChapterDisplacedThermalOverlap.dtOverlap_lt_of_dist_lt

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDisplacedThermalOverlap.

BookProof.ChapterDisplacedThermalOverlap.dtOverlap_lt_of_dist_lt (nbar : ℝ≥0) {a b c : ℝ} (h : (a - b) ^ 2 < (a - c) ^ 2) : dtOverlap nbar a c < dtOverlap nbar a b

Formalization note: Lean 4 identifier BookProof.ChapterDisplacedThermalOverlap.dtOverlap_lt_of_dist_lt.

Preamble

-- Generated from ChapterDisplacedThermalOverlap.lean — theorem BookProof.ChapterDisplacedThermalOverlap.dtOverlap_lt_of_dist_lt
import Mathlib
import Definitions.Def_ChapterDisplacedThermalOverlap
open BookProof.ChapterDisplacedThermalOverlap


noncomputable section

open MeasureTheory ProbabilityTheory Real
open scoped NNReal

Formal statement

theorem BookProof.ChapterDisplacedThermalOverlap.dtOverlap_lt_of_dist_lt (nbar : ℝ≥0) {a b c : ℝ}
    (h : (a - b) ^ 2 < (a - c) ^ 2) : dtOverlap nbar a c < dtOverlap nbar a b := by sorry

View graph