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Proof step 5 from proof zero-not (previous step)

i + i0 = 0, 0 < i + j, i < 0 ⊦ abs(i0) < j

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: i0 < 0

Additional information

Used simplifier rules: Abs-pos: ⊦ ¬ j < 0 → abs(j) = j;%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2% ⊦ i0 < i + j0 ∧ ¬ j < j0 → i0 ≠ i + j; (s)% ⊦ i < 0 ∧ j < 0 → i + j ≠ 0; (s) Used formulas: i0 < 0