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Proof step 17 from proof sis-pos-low (previous step)

32767 < 65536 * i0 + j, j ≤ 32767, 0 < 65536 * i0 + j, 0 ≤ j, 0 ≤ i0, 0 < i0 ⊦ 16 = # fillsgn(17, int2bits(j)).rest, s2i(i2s(bits2int(lastn(16, int2bits(i0) + fillsgn(17, int2bits(j)).rest)))) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ bits ≠ [] → # bits.rest = (# bits)-1 subst: [bits] → [fillsgn(17, int2bits(j))] rotate: F spec: list-data inst: bitlista name: length-rest

Additional information

Used simplifier rules: ⊦ fillsgn(n, bits) = [] ↔ bits = [] ∧ n = 0;% ⊦ int2bits(j) ≠ []; Used terms: fillsgn(17, int2bits(j))