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Proof step 7 from proof bib-on-bits (previous step)

8 < # int2bits(i), i ≤ 127, ~128 ≤ i ⊦ i = bits2int(lastn(8, int2bits(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 0 < i → (m < # int2bits(i) ↔ ¬ i < 2 ^ (n→i(m) - 1))
Proof step 9:
¬ 0 < i, 8 < # int2bits(i), i ≤ 127, ~128 ≤ i ⊦ i = bits2int(lastn(8, int2bits(i)))

Rule argument

seq: ⊦ 0 < i → (m < # int2bits(i) ↔ ¬ i < 2 ^ (n→i(m) - 1)) subst: [i, m] → [i, 8] rotate: F spec: int2bits inst: name: int2bits-lslen-06

Additional information

Used simplifier rules: j0 ≠ 0, j < j0 ⊦ i ≤ (* j) → i < (* j0); Used terms: i, 8