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Proof step 7 from proof le-same (previous step)

(m + m * n -1) + n0 ≤ m ⊦ n = 0, m = 0 ∧ n0 = 0, n = 1 ∧ n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
n - 1 = 0 ⊦ m = 0, n = 1, n = 0

Rule argument

Additional information

Used simplifier rules: zero-01: ⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0;%mult-a: ⊦ m0 * m * n = (m0 * m) * n;%mult-c: ⊦ m * n = n * m;%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m + n = 0 ↔ m = 0 ∧ n = 0; (ws)% ⊦ m + n ≤ m ↔ n = 0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n -1 = n - 1; (s)