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Natural_Numbers_form_Commutative_Semiring

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

natural-numbersproofwikisemirings

The semiring of natural numbers \structN,+,×\struct {\N, +, \times}\structN,+,× forms a commutative semiring.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Natural_Numbers_form_Commutative_Semiring (a b : ℕ) : a * b = b * a := by sorry
Source
https://proofwiki.org/wiki/Natural_Numbers_form_Commutative_Semiring

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