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Proof step 1 from proof add-ones-grlen (conclusion)

⊦ ¬ false ∈ bits ∧ # bits0 ≤ # bits ∧ bits0.first ∧ bits0 ≠ [] → bitsand(bits, bits0) = fillsgn(# bits, bits0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
# bits0 ≤ # bits, bits0.first ⊦ bits0 = [], bitsand(bits, bits0) = mklist(true, # bits - # bits0) + bits0, false ∈ bits

Rule argument

Additional information

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