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Proof step 1 from proof short-add2 (conclusion)

⊦ i ≤ 32767 → ¬ 65536 ≤ i + s2i(sho0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
65536 ≤ i + s2i(sho0), i ≤ 32767, 0 < i + s2i(sho0), 0 ≤ i + s2i(sho0) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)