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Proof step 638 from proof bitsand-cast (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 639:
⊦ (bits + bits0) + bits1 = bits + bits0 + bits1
Proof step 640:
# bits1 = 2 + # bits, # bits1 ≤ # bits2 + # bitsand(false ' + true ' + bits, bits1), # bits3 ≤ m, bits3.first ⊦ m = 0, bits3 = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = lastn(2 + # bits + m, bits2 + mklist(false, m) + bitsand(false ' + true ' + bits, bits1)), bits1 = [], bits2 + mklist(false, m) = [], bits3 + bits1 = []

Rule argument

seq: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1 subst: [bits1, bits0, bits] → [bitsand(false ' + true ' + bits, bits1), mklist(false, m), bits2] rotate: F spec: list inst: bitlista name: a

Additional information

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