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Proof step 237 from proof bitsand-cast (previous step)

2 + # bits1 = # bits, n0 + # bits = # fillsgn(n0 + # bits, mklist(false, m) + false ' + true ' + bits1), n0 + # bits = # fillsgn(n0 + # bits, mklist(false, # bits2) + bitsand(bits, false ' + true ' + bits1)), 2 + # bits1 + m < n0 + # bits, # bits2 < m ⊦ bits2 = [], bits = [], bits2 + bits = [], mklist(false, n0) + bitsand(bits, false ' + true ' + bits1) = fillsgn(n0 + # bits, mklist(false, # bits2) + bitsand(bits, false ' + true ' + bits1)), bits2.first

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ # bits ≤ n ∧ bits ≠ [] → fillsgn(n, bits) = mklist(bits.first, n - # bits) + bits subst: [bits, n] → [ mklist(false, # bits2) + bitsand(bits, false ' + true ' + bits1), n0 + # bits] rotate: F spec: bitopsaux inst: name: fill-fill

Additional information

Used terms: mklist(false, # bits2) + bitsand(bits, false ' + true ' + bits1), n0 + # bits