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Proof step 45 from proof sis-neg-high (previous step)

16 < # int2bits(j), i0 * 65536 + j < 0, i0 ≤ 0, j ≤ 0, i0 * 65536 + j < ~32768, ~32768 ≤ j, abs(j) < 65536 ⊦ s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j))))) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i < ~1 → (m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1)) subst: [i, m] → [j, 16] rotate: F spec: int2bits inst: name: int2bits-lslen-05

Additional information

Used simplifier rules: ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j; Used terms: j, 16