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Proof step 2 from proof short-2bytes-01 (previous step)

65536 ≤ bytes2int(by ' + by0 ') + s2i(sho), 0 < bytes2int(by ' + by0 ') + s2i(sho), 0 ≤ bytes2int(by ' + by0 ') + s2i(sho) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i ≤ 32767 → ¬ 65536 ≤ i + s2i(sho0)
Proof step 4:
¬ bytes2int(by ' + by0 ') ≤ 32767, 65536 ≤ bytes2int(by ' + by0 ') + s2i(sho), 0 < bytes2int(by ' + by0 ') + s2i(sho), 0 ≤ bytes2int(by ' + by0 ') + s2i(sho) ⊦

Rule argument

seq: ⊦ i ≤ 32767 → ¬ 65536 ≤ i + s2i(sho0) subst: [sho0, i] → [sho, bytes2int(by ' + by0 ')] rotate: F spec: byte inst: name: short-add2

Additional information

Used terms: sho, bytes2int(by ' + by0 ')