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Proof step 30 from proof sis-neg-high (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ j < 0 ∧ j ≠ ~1 → int2bits(j) = int2bits((j - 1) / 2) + (~1 = j % 2)' subst: [j] → [2 * i0 - 1] rotate: F spec: int2bits inst: name: int2bits-rec-neg

Additional information

Used simplifier rules: ⊦ i - j < i0 ↔ i < j + i0;% ⊦ 0 < i ∧ 0 ≤ j → ((* i) * i0 < (* j) ↔ i0 < (i + j - 1) / i);% ⊦ i < 1 ↔ i ≤ 0;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ i - j = i0 ↔ i = i0 + j;% ⊦ 2 * i = 0 ↔ i = 0; Used terms: 2 * i0 - 1