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Proof step 629 from proof bitsand-cast (previous step)

2 + # bits = # bits1, # bits1 = # bitsand(bits1, false ' + true ' + bits), bits3.first, # bits3 ≤ m ⊦ bits3 + bits1 = [], bits2 + mklist(false, m) = [], bits1 = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = lastn(2 + # bits + m, fillsgn(2 + # bits + m, (bits2 + mklist(false, m)) + bitsand(false ' + true ' + bits, bits1))), bits3 = [], m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ n ≤ # bits → fillsgn(n, bits) = bits subst: [bits, n] → [ (bits2 + mklist(false, m)) + bitsand(false ' + true ' + bits, bits1), 2 + # bits + m] rotate: F spec: bitopsaux inst: name: fillsgn-longer

Additional information

Used terms: (bits2 + mklist(false, m)) + bitsand(false ' + true ' + bits, bits1), 2 + # bits + m