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Proof step 2 from proof bits2int8-03 (previous step)

0 ≤ bits2int(lastn(8, bits)), 0 < bits2int(lastn(8, bits)), 8 < # bits, 127 < bits2int(lastn(8, bits)) ⊦ bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ # bits = 8 → ¬ 127 < bits2int(bits)
Proof step 4:
# lastn(8, bits) ≠ 8, 0 ≤ bits2int(lastn(8, bits)), 0 < bits2int(lastn(8, bits)), 8 < # bits, 127 < bits2int(lastn(8, bits)) ⊦ bits = []

Rule argument

name: bits2int8-01 rotate: F subst: [bits] → [lastn(8, bits)]

Additional information

Used terms: lastn(8, bits)