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Proof step 5 from proof short-size-02 (previous step)
| 16 < # int2bits(s2i(sho)), s2i(sho) ≤ 0 ⊦ |
User applied rule insert rewrite lemma
And obtained the following new goals
- Proof step 6:
⊦ i < ~1 → (m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1))
- Proof step 7:
¬ s2i(sho) < ~1, 16 < # int2bits(s2i(sho)), s2i(sho) ≤ 0 ⊦
Rule argument
seq: ⊦ i < ~1 → (m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1))
subst: [i, m] → [s2i(sho), 16]
rotate: F
spec: int2bits
inst:
name: int2bits-lslen-05Additional information
Used simplifier rules:
short-min-01: ⊦ ¬ s2i(sho) < ~32768;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;
Used terms: s2i(sho), 16