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Proof step 2 from proof band-65535-pos (previous step)

# bytes ≤ 2, 0 ≤ bytes2int(bytes) ⊦ bytes = [], bytes2int(bytes) % 65536 = bytes2int(bytes)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ abs(i) < j → i % j = i
Proof step 4:
¬ abs(bytes2int(bytes)) < 65536, # bytes ≤ 2, 0 ≤ bytes2int(bytes) ⊦ bytes = [], bytes2int(bytes) % 65536 = bytes2int(bytes)

Rule argument

seq: ⊦ abs(i) < j → i % j = i subst: [j, i] → [65536, bytes2int(bytes)] rotate: F spec: int-div inst: name: mod-zero-05

Additional information

Used terms: 65536, bytes2int(bytes)