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Proof step 16 from proof int2bytes-byte-neg (previous step)

9 < # int2bits(i), i < 0, i < ~128, ~256 < i ⊦ bits2bytes(restn(1, int2bits(i))) = i2b(i) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ i < ~1 → (m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1))

Rule argument

seq: ⊦ i < ~1 → (m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1)) subst: [i, m] → [i, 9] rotate: F spec: int2bits inst: name: int2bits-lslen-05

Additional information

Used simplifier rules: j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0);% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: i, 9