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Proof step 2 from proof bytes2int-2-le-32767 (previous step)

0 < bytes2int(by ' + by1 '), 32767 < bytes2int(by ' + by1 ') ⊦

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(by1), 255), 32767 < bytes2int(by ') * 256 + band(b2i(by1), 255) ⊦

Rule argument

name: bytes2int-rec rotate: F subst: [by, bytes] → [by1, by ']

Additional information

Used simplifier rules: ⊦ by ' ≠ []; Used terms: by1, by '