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Proof step 2 from proof bits2int8 (previous step)

# bits = 8, bits2int(bits) < ~128, bits2int(bits) < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ # bits ≤ 8 ∧ bits ≠ [] → ¬ bits2int(bits) < ~128

Rule argument

name: bits2int-le8 rotate: F subst: [bits] → [bits]

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ # [] = 0;% ⊦ ¬ m < n ↔ n ≤ m;% ⊦ m < n ∧ m = n0 → n0 < n; (forward)% ⊦ m < n ∧ n = n0 → m < n0; (forward)% ⊦ m < n → n ≠ 0; (forward) Used terms: bits