Prove2Me

A congruence that gives divisibility by five

Proved
WorkbookSource.problem_30147

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

lean-workbooksource-checked

Prove that if p≡2(mod5)p\equiv 2\pmod 5, then 5∣2p+15\vert 2p+1 .

Source: InternLM Lean-Workbook, record lean_workbook_30147 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_30147 (p : ℕ) (hp : p ≡ 2 [ZMOD 5]) : 5 ∣ 2 * p + 1  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_30147; Apache-2.0

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