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Proof step 1 from proof oe-02 (conclusion)

⊦ odd(n + 1) ↔ even(n)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: Odd: ⊦ odd(n) ↔ ¬ even(n);%eo-02: ⊦ even(n + 1) ↔ odd(n);%Even: ⊦ even(n) ↔ (∃ m. m + m = n);%meven-02: ⊦ even(2 * m);%modd-03: ⊦ ¬ odd(2 * m);%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%two-02: ⊦ m + m = 2 * m; from specification nat-mult