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Proof step 7 from proof min-le-diff-third (previous step)

⊦ n2 ≤ n2 - (n0 < (n1 < n2 ⊃ n1;n2) ⊃ n0;(n1 < n2 ⊃ n1;n2)) ↔ n0 = 0 ∨ n1 = 0 ∨ n2 = 0

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 8:
⊦ n2 ≤ n2 - (n0 < (n1 < n2 ⊃ n1;n2) ⊃ n0;(n1 < n2 ⊃ n1;n2)) ↔ n0 = 0 ∨ n1 = 0 ∨ n2 = 0, n1 = 0

Rule argument

fma: n1 = 0

Additional information

Used simplifier rules: ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ ¬ m < 0; (s)% ⊦ m - 0 = m; (s)% ⊦ m ≤ m; (s) Used formulas: n1 = 0