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Proof step 254 from proof bitsand-cast (previous step)

n0 + # bits = # fillsgn(n0 + # bits, mklist(false, m) + bitsand(bits, false ' + true ' + bits1)), n0 + # bits = # fillsgn(n0 + # bits, mklist(false, m) + false ' + true ' + bits1), 2 + # bits1 = # bits, 2 + # bits1 + m < n0 + # bits, m ≤ # bits2 ∨ bits2.first ⊦ bits2 = [], mklist(false, n0) + bitsand(bits, false ' + true ' + bits1) = fillsgn(n0 + # bits, mklist(false, m) + bitsand(bits, false ' + true ' + bits1)), bits2 + bits = [], m = 0, bits = []

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, m) + bitsand(bits, false ' + true ' + bits1), n0 + # bits] rotate: F spec: bitopsaux inst: name: fill-fill

Additional information

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