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Proof step 2 from proof short-2bytes-03 (previous step)

0 < bytes2int(by ' + by0 '), 32768 < bytes2int(by ' + by0 ') ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bytes ≠ [] → bytes2int(bytes + by ') = bytes2int(bytes) * 256 + band(b2i(by), 255)
Proof step 4:
by ' ≠ [], 0 < bytes2int(by ') * 256 + band(b2i(by0), 255), 32768 < bytes2int(by ') * 256 + band(b2i(by0), 255) ⊦

Rule argument

name: bytes2int-rec rotate: F subst: [by, bytes] → [by0, by ']

Additional information

Used simplifier rules: ⊦ by ' ≠ []; Used terms: by0, by '