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Proof step 31 from proof sis-pos-low (previous step)

16 = # fillsgn(16, int2bits(j)), 32767 < 65536 * i0 + j, j ≤ 32767, 0 < 65536 * i0 + j, 0 ≤ j, 0 ≤ i0, 0 < i0, # int2bits(j) < 17 ⊦ s2i(i2s(j)) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i

Rule argument

name: num-issi rotate: F subst: [i] → [j]

Additional information

Used simplifier rules: i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;%j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0); Used terms: j