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Proof step 4 from proof mod-inshort (previous step)

⊦ s2i(sho1) = 0, ~32768 ≤ s2i(sho0) % s2i(sho1) ∧ s2i(sho0) % s2i(sho1) ≤ 32767

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ s2i(sho1) = 0, ¬ s2i(sho0) % s2i(sho1) < ~32768 ∧ ¬ 32767 < s2i(sho0) % s2i(sho1)

Rule argument

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs