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Proof step 27 from proof sis-neg-high (previous step)

i0 < 0 ⊦ i0 = 0, s2i(i2s(bits2int(lastn(16, int2bits((2 * i0 - 1) * 2 ^ 15))))) = ~32768

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: 0 ≤ i, j ≠ 0 ⊦ int2bits(j * 2 ^ i) = int2bits(j) + mklist(false, i→n(i)) subst: [i, j] → [15, 2 * i0 - 1] rotate: F spec: int2bits inst: name: int2bits-2pot-04

Additional information

Used simplifier rules: ⊦ i - j = i0 ↔ i = i0 + j;% ⊦ i * j = 1 ↔ abs(i) = 1 ∧ i = j;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used terms: 15, 2 * i0 - 1