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Proof step 21 from proof bib-pos-high (previous step)

127 < j, 64 ≤ j, j < 256, 0 < j ⊦ j = 256 + b2i(i2b(bits2int(lastn(8, int2bits(j))))), 0 = j, # int2bits(j) = 9, lastn(8, int2bits(j)).first

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: 0 ≤ i, 2 ^ i ≤ j, j < 2 ^ (i + 1) ⊦ # int2bits(j) = i→n(i + 2) subst: [i, j] → [7, j] rotate: F spec: int2bits inst: name: int2bits-len-pos

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;%j0 ≠ 0, j ≤ j0 ⊦ i < (* j) → i < (* j0);%j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0);% ⊦ i < j ∧ j < i0 → i +1 < i0; (forward) Used terms: 7, j