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Natural_Numbers_under_Addition_form_Commutative_Monoid

Proved

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

examples-of-monoidsnatural-numbersproofwiki

The algebraic structure \structN,+\struct {\N, +}\structN,+ consisting of the set of natural numbers N\NN under addition +++ is a commutative monoid whose identity is zero.

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

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