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Proof step 5 from proof bytes2int-len-one-01 (previous step)

bytes2int(bytes0 + by ') < 128, 0 ≤ bytes2int(bytes0 + by ') ⊦ bytes0 = [], bytes0.first = i2b(0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ bytes ≠ [] → bytes2int(bytes + by ') = bytes2int(bytes) * 256 + band(b2i(by), 255)
Proof step 7:
bytes0 ≠ [], bytes2int(bytes0) * 256 + band(b2i(by), 255) < 128, 0 ≤ bytes2int(bytes0) * 256 + band(b2i(by), 255) ⊦ bytes0 = [], bytes0.first = i2b(0)

Rule argument

name: bytes2int-rec rotate: F subst: [by, bytes] → [by, bytes0]

Additional information

Used terms: by, bytes0