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Proof step 13 from proof ushort-short (previous step)

0 < (s2i(sho) + 65536) % 65536, s2i(sho) < 0, 32767 < (s2i(sho) + 65536) % 65536, ~65536 ≤ s2i(sho) ⊦ (s2i(sho) + 65536) % 65536 = s2i(sho) + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ abs(i) < j → i % j = i subst: [j, i] → [65536, s2i(sho) + 65536] rotate: F spec: int-div inst: name: mod-zero-05

Additional information

Used simplifier rules: ⊦ i + j = j + i; Used terms: 65536, s2i(sho) + 65536