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Proof step 687 from proof bitsand-cast (previous step)

2 + # bits + m = # fillsgn(2 + # bits + m, mklist(false, # bits3) + bitsand(bits1, false ' + true ' + bits)), # bits1 = 2 + # bits, # bits3 < m ⊦ bits1 = [], bits3 = [], bits3 + bits1 = [], bits2 + mklist(false, m) = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = fillsgn(2 + # bits + m, mklist(false, # bits3) + bitsand(bits1, false ' + true ' + bits)), # bits3 = m, bits3.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, # bits3) + bitsand(bits1, false ' + true ' + bits), 2 + # bits + m] rotate: F spec: bitopsaux inst: name: fill-fill

Additional information

Used terms: mklist(false, # bits3) + bitsand(bits1, false ' + true ' + bits), 2 + # bits + m