Prove2Me

Solving a shifted strict inequality

Proved
WorkbookSource.problem_35932

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

For every real number xx,

x+2<1⟺x<−1.x+2<1\quad\Longleftrightarrow\quad x<-1.

Source: InternLM Lean-Workbook, record lean_workbook_35932 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_35932 (x : ℝ) : x + 2 < 1 ↔ x < -1  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_35932; Apache-2.0

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