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Proof step 799 from proof bitsand-cast (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ n ≤ # bits → lastn(n, bits0 + bits) = lastn(n, bits) subst: [bits, bits0, n] → [ bitsand(mklist(false, # bits0), bits0) + bitsand(false ' + true ' + bits, bits1), bitsand(bits2, bits4), 2 + # bits + # bits0] rotate: F spec: list-del inst: bitlista name: lastN-append-01

Additional information

Used terms: bitsand(mklist(false, # bits0), bits0) + bitsand(false ' + true ' + bits, bits1), bitsand(bits2, bits4), 2 + # bits + # bits0