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Proof step 521 from proof bitsand-cast (previous step)

sgn(mklist(true, # bits0) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits, # bitsand(bits2, bits4) + # bitsand(bits0, mklist(true, # bits0)) + # bits1 < 2 + # bits + # bits0 ⊦ bits4 = [], bits2 = [], (bits4 + bits0) + bits1 = [], bits1 = [], lastn(2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, (bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))) = lastn (2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, (bitsand(bits2, bits4) + bitsand(bits0, mklist(true, # bits0))) + bitsand(bits1, true ' + false ' + bits))), bits2 + mklist(true, # bits0) = [], bits4 + bits0 = [], bits0 = [], mklist(true, # bits0).first

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ m ≠ 0 → (mklist(boolvar, m).first ↔ boolvar) subst: [m, boolvar] → [# bits0, true] rotate: F spec: list-last inst: bitlista name: mk-first-01

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = []; Used terms: # bits0, true