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Proof step 1 from proof fill-rec-false (conclusion)

⊦ bits ≠ [] ∧ ¬ bits.first ∧ # bits ≤ n → fillsgn(n + 1, bits) = false ' + fillsgn(n, bits)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
# bits ≤ n ⊦ bits = [], fillsgn(n + 1, bits) = false ' + mklist(false, n - # bits) + bits, bits.first

Rule argument

Additional information

Used simplifier rules: fill-fill: ⊦ # bits ≤ n ∧ bits ≠ [] → fillsgn(n, bits) = mklist(bits.first, n - # bits) + bits;