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Proof step 9 from proof three (previous step)

m * m0 = 3 ⊦ m = 2, m = 0, m = 1, m0 = 1, m0 = 0, m0 = 2

User applied rule cut formula

And obtained the following new goals

Proof step 10:
m * m0 = 3 ⊦ m = 1, m = 0, m = 2, m0 = 2, m0 = 0, m0 = 1, 3 < m * m0

Rule argument

fma: 3 < m * m0

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → ¬ n < m; (s) Used formulas: 3 < m * m0