Prove2Me

`BookProof.ChapterBoseEinstein.exp_sub_one_pos` (hx : 0 < x) : 0 < Real.exp x - 1

Proved
BookProof.ChapterBoseEinstein.exp_sub_one_pos

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBoseEinstein.

BookProof.ChapterBoseEinstein.exp_sub_one_pos (hx : 0 < x) : 0 < Real.exp x - 1

Formalization note: Lean 4 identifier BookProof.ChapterBoseEinstein.exp_sub_one_pos.

Preamble
-- Generated from ChapterBoseEinstein.lean — theorem BookProof.ChapterBoseEinstein.exp_sub_one_pos
import Definitions.Def_ChapterCoherentTemperature
import Definitions.Def_ChapterCoherentOccupation
import Mathlib
import Definitions.Def_ChapterBoseEinstein
open BookProof.ChapterBoseEinstein


noncomputable section

open Filter Topology


open BookProof.ChapterCoherentTemperature BookProof.ChapterCoherentOccupation

variable {x : ℝ}
Formal statement
theorem BookProof.ChapterBoseEinstein.exp_sub_one_pos (hx : 0 < x) : 0 < Real.exp x - 1 := by sorry

View graph