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Proof step 501 from proof bitsand-cast (previous step)

# bits1 = 2 + # bits ⊦ bits4 + bits1 = [], bits1 = [], lastn(# bits1, fillsgn(# bits1, bits4 + bitsand(bits1, true ' + false ' + bits))) = lastn(# bits1, bitsand(bits2, bits4) + bitsand(bits1, true ' + false ' + bits)), bits2 = [], bits4 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 502:
⊦ n = # bits → lastn(n, bits0 + bits) = bits
Proof step 503:
# bits1 ≠ # bitsand(bits1, true ' + false ' + bits), # bits1 = 2 + # bits ⊦ bits4 + bits1 = [], bits1 = [], lastn(# bits1, fillsgn(# bits1, bits4 + bitsand(bits1, true ' + false ' + bits))) = lastn(# bits1, bitsand(bits2, bits4) + bitsand(bits1, true ' + false ' + bits)), bits2 = [], bits4 = []
Proof step 506:
# bits1 = # bitsand(bits1, true ' + false ' + bits), # bits1 = 2 + # bits ⊦ bits4 + bits1 = [], bits1 = [], lastn(# bits1, fillsgn(# bits1, bits4 + bitsand(bits1, true ' + false ' + bits))) = bitsand(bits1, true ' + false ' + bits), bits2 = [], bits4 = []

Rule argument

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

Additional information

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