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Lean-Workbook Syntax 51292: The first 1006 odd factors modulo eight

Proved
WorkbookSyntax.plus_51292

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrepaired-notationsource-checked

∏k=11006(2k−1)≡3(mod8)\prod_{k=1}^{1006}(2k-1)\equiv3\pmod8∏k=11006​(2k−1)≡3(mod8).

Source: Lean-Workbook row lean_workbook_plus_51292 (Apache-2.0), original record. This corrected declaration replaces the obsolete finite sum/product binder in with ∈ and restores required imports or namespaces. Ranges, casts, quantifiers, and mathematical expressions are preserved.

Preamble
import Mathlib.Algebra.BigOperators.Intervals
Formal statement
theorem WorkbookSyntax.plus_51292 : (∏ k ∈ Finset.Icc 1 1006, (2 * k - 1)) % 8 = 3   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_51292; immutable original Prove2Me node 8c8a43e6-9e4a-4b4a-9344-1b308dde1955

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