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Proof step 7 from proof short-neq-01 (previous step)

¬(s2i(sho) < 0 ∧ 65536 * i < 0), s2i(sho) + 65536 * i = 0 ⊦ i = 0 ∧ s2i(sho) = 0, ¬ s2i(sho) ≤ 0 ∧ ¬ i ≤ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
s2i(sho) + 65536 * i = 0 ⊦ i = 0 ∧ s2i(sho) = 0, ¬ s2i(sho) ≤ 0 ∧ ¬ i ≤ 0, ¬ 0 ≤ s2i(sho) ∧ ¬ 0 ≤ i

Rule argument

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 0 < i → (i * j < 0 ↔ j < 0);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;