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Proof step 1 from proof bits2int-nls-02 (conclusion)

⊦ # bits - 1 ≤ n ∧ bits ≠ [] → ¬ 2 ^ n→i(n) + bits2int(bits) < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
# bits ≤ n + 1, 2 ^ n→i(n) + bits2int(bits) < 0 ⊦ bits = []

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)%n0 ≤ n ⊦ n - n0 ≤ m ↔ n ≤ m + n0;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < 1 ↔ m = 0;% ⊦ # bits = 0 ↔ bits = [];