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Proof step 5 from proof band-65535-neg (previous step)

# bytes ≤ 2, bytes2int(bytes) < 0 ⊦ bytes = [], (bytes2int(bytes) + 1) % 65536 = 1 + bytes2int(bytes)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ abs(i) < j → i % j = i
Proof step 7:
¬ abs(bytes2int(bytes) + 1) < 65536, # bytes ≤ 2, bytes2int(bytes) < 0 ⊦ bytes = [], (bytes2int(bytes) + 1) % 65536 = 1 + bytes2int(bytes)

Rule argument

seq: ⊦ abs(i) < j → i % j = i subst: [j, i] → [65536, bytes2int(bytes) + 1] rotate: F spec: int-div inst: name: mod-zero-05

Additional information

Used simplifier rules: ⊦ i + j = j + i; Used terms: 65536, bytes2int(bytes) + 1