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Proof step 14 from proof int2bytes-rec-pos-04 (previous step)

i % 256 ≤ 127, 256 ≤ i, 0 < i, 0 ≤ i ⊦ i2b(i % 256) ' = fix(2, i2b(i % 256) ').rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ # bytes < n ∧ 0 ≤ bytes2int(bytes) → fix(n, bytes) = mklist(i2b(0), n - # bytes) + bytes
Proof step 16:
¬(# i2b(i % 256) ' < 2 ∧ 0 ≤ bytes2int(i2b(i % 256) ')), i % 256 ≤ 127, 256 ≤ i, 0 < i, 0 ≤ i ⊦ i2b(i % 256) ' = fix(2, i2b(i % 256) ').rest

Rule argument

name: fix-pos rotate: F subst: [bytes, n] → [i2b(i % 256) ', 2]

Additional information

Used simplifier rules: ⊦ # by ' = 0 +1;% ⊦ mklist(by, 1) = by ';% ⊦ (by ' + bytes).rest = bytes;% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ by ' = by0 ' ↔ by = by0; Used terms: i2b(i % 256) ', 2