Prove2Me

lean_workbook_plus_17637

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Find the minimum value of F(x,y)=∣x−1∣+∣x−2∣+∣x−3∣+∣x−4∣+∣y−1∣+∣y−2∣+∣y−3∣F(x,y)=\left | x-1 \right | + \left | x-2 \right | + \left | x-3 \right | + \left | x-4 \right | + \left | y-1 \right | + \left | y-2 \right | + \left | y-3 \right |.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_17637 (x y : ℝ) : 6 ≤ abs (x - 1) + abs (x - 2) + abs (x - 3) + abs (x - 4) + abs (y - 1) + abs (y - 2) + abs (y - 3)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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