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Proof step 2 from proof short-add-min (previous step)

s2i(sho0) + s2i(sho1) ≤ ~65536 ⊦ s2i(sho0) = ~32768 ∧ s2i(sho1) = ~32768

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
s2i(sho0) + s2i(sho1) < 0, s2i(sho0) + s2i(sho1) ≤ ~65536 ⊦ s2i(sho0) = ~32768 ∧ s2i(sho1) = ~32768

Rule argument

Additional information

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