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Proof step 10 from proof bitsand-cast (previous step)

n = # fillsgn(n, bits), # bits < n ⊦ lastn(n, fillsgn(n, bitsand(sgn(fillsgn(n, bits)), bits0))) = lastn(n, fillsgn(n, bitsand(bits, bits0))), bits0 = [], bits = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
n = # fillsgn(n, bits), # bits < n ⊦ lastn(n, fillsgn(n, bitsand(sgn(bits), bits0))) = lastn(n, fillsgn(n, bitsand(bits, bits0))), bits = [], bits0 = []

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ∧ n = n0 → m < n0; (forward)% ⊦ bits ≠ [] → sgn(fillsgn(n, bits)) = sgn(bits);