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Proof step 13 from proof bitsand-cast-01 (previous step)

⊦ bits2 + bits1 = [], bits0 = [], lastn(# bits1, fillsgn(# bits1, bitsand(lastn(# bits1, bits2 + bits1), bits0))) = lastn(# bits1, fillsgn(# bits1, bitsand(bits2 + bits1, bits0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ n = # bits → lastn(n, bits0 + bits) = bits
Proof step 15:
# bits1 = # bits1 ⊦ bits2 + bits1 = [], bits0 = [], lastn(# bits1, fillsgn(# bits1, bitsand(bits1, bits0))) = lastn(# bits1, fillsgn(# bits1, bitsand(bits2 + bits1, bits0)))

Rule argument

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

Additional information

Used terms: bits1, bits2, # bits1