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Proof step 11 from proof short-neq-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
65536 * i + s2i(sho) = 0, 0 ≤ s2i(sho), i < 0 ⊦ i = 0

Rule argument

Additional information

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