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Proof step 2 from proof short-mod-01 (previous step)

⊦ i = 0, s2i(i2s(s2i(sho) % i)) = s2i(sho) % i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i
Proof step 4:
¬(~32768 ≤ s2i(sho) % i ∧ s2i(sho) % i ≤ 32767) ⊦ i = 0, s2i(i2s(s2i(sho) % i)) = s2i(sho) % i

Rule argument

name: num-issi rotate: F subst: [i] → [s2i(sho) % i]

Additional information

Used terms: s2i(sho) % i