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Proof step 2 from proof numeral-25 (previous step)

m2 ≠ 0 ⊦ m2 * m = m + n0 ↔ (m2 - 1) * m = n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
m2 * m = m + n0 ⊦ m2 = 0, (m2 - 1) * m = n0

Rule argument

Additional information

Used simplifier rules: coef-17: ⊦ m * n + n = m1 * n ↔ ¬ ¬(m + 1 = m1 ∨ n = 0);%mult-a: ⊦ m0 * m * n = (m0 * m) * n;%mult-c: ⊦ m * n = n * m;%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%eq-02: n ≤ m ⊦ (m - n) + n0 = n1 ↔ m + n0 = n + n1; from specification nat%one-01: ⊦ m < 1 ↔ m = 0; from specification nat-basic1%lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat