Prove2Me

A square of five modulo one hundred

Proved
WorkbookSource.problem_34138

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

lean-workbooksource-checked

The following modular identity holds:

52⋅1≡25(mod100).5^{2\cdot1}\equiv25\pmod{100}.

Source: InternLM Lean-Workbook, record lean_workbook_34138 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_34138 :
  (5^(2*1) ≡ 25 [ZMOD 100])  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_34138; Apache-2.0

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