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Proof step 1 from proof short-mod (conclusion)

⊦ s2i(sho) % 65536 = s2i(sho)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ abs(i) < j → i % j = i
Proof step 3:
¬ abs(s2i(sho)) < 65536 ⊦ s2i(sho) % 65536 = s2i(sho)

Rule argument

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

Additional information

Used terms: 65536, s2i(sho)