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lean_workbook_plus_10951

Proved

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

If the square of an integer is divisible by 8 88 , then it is also divisible by 16 1616 . Hence, it follows that y2=0(mod  16) y^{2}= 0 (mod \; 16)y2=0(mod16) and z2=0(mod  16) z^{2}= 0 (mod \; 16)z2=0(mod16) .

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_10951 : ∀ y : ℤ, y^2 % 8 = 0 → y^2 % 16 = 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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