Solving a nonstrict linear inequality

Proved

WorkbookSource.problem_25493

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

lean-workbooksource-checked

Find all real numbers $x$ for which $3-x \geq 0$

Source: InternLM Lean-Workbook, record lean_workbook_25493 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_25493 (x : ℝ) : 3 - x ≥ 0 ↔ x ≤ 3  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_25493; Apache-2.0

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