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Proof step 9 from proof min-le-diff-third (previous step)

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

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 10:
⊦ n2 ≤ n2 - (n0 < (n1 < n2 ⊃ n1;n2) ⊃ n0;(n1 < n2 ⊃ n1;n2)) ↔ n0 = 0 ∨ n2 = 0, n1 = 0, n2 = 0

Rule argument

fma: n2 = 0

Additional information

Used simplifier rules: ⊦ ¬ m < 0; (s) Used formulas: n2 = 0