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Proof step 11 from proof dec-nat-01 (previous step)

2 * (n + 1) / 2 = m + 1 ∧ 2 * (n + 1) / 2 ≠ 0 ⊦ n % 2 = 0, m = n, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%one-03: ⊦ 1 = m + 1 ↔ m = 0; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%oz: ⊦ m + 1 ≠ 0; from specification nat-basic2%two-zero-01-01: ⊦ m / 2 = 0 ↔ ¬ ¬(m = 0 ∨ m = 1); from specification nat-div%two-zero-01: ⊦ 2 * m = 0 ↔ m = 0; from specification nat-mult