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lean_workbook_plus_139

Proved

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

If mmm is a multiple of nnn , then mmm can be expressed as m=nxm = nxm=nx where xxx is an integer. Since 000 is an integer, then yes you would consider 000 a multiple of all naturals.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_139 :
  ∀ m n, m % n = 0 → ∃ x, m = n * x   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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