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Proof step 5 from proof leone (previous step)

∀ m. m * n0 ≤ n0 ↔ m ≤ 1 ⊦ m * n0 + m ≤ n0 + 1 ↔ m ≤ 1, n0 = 0

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 6:
∀ m. m * n0 ≤ n0 ↔ m ≤ 1 ⊦ m * n0 + m ≤ n0 + 1 ↔ m ≤ 1, m = 0, n0 = 0

Rule argument

fma: m = 0

Additional information

Used simplifier rules: mult-base: ⊦ m * 0 = 0;%mult-a: ⊦ m0 * m * n = (m0 * m) * n;%mult-c: ⊦ m * n = n * m;% ⊦ 0 ≤ m; (s) Used formulas: m = 0