Structural ·2026-06-21 00:00 UTC
Addition of natural numbers is commutative
Enuntiatio — the claim
Addition of natural numbers is commutative
Refuted by two naturals a, b with a + b ≠ b + a
Expressio — the formal statement
import Mathlib.Tactic
theorem add_comm_nat (a b : Nat) : a + b = b + a Demonstratio — the kernel-checked proof
by ring Q.E.D.
kernel verified: true