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Proof step 873 from proof bitsand-cast (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 874:
⊦ n ≤ # bits → fillsgn(n, bits) = bits
Proof step 875:
¬ # bits1 ≤ # bits0, mklist(true, # bits1) = bits1 ⊦ bits2 + bits1 = [], bits0 = [], lastn(# bits1, fillsgn(# bits1, bits0)) = lastn(# bits1, fillsgn(# bits1, bitsand(bits2 + bits1, bits0))), bits1 = []
Proof step 905:
# bits1 ≤ # bits0, mklist(true, # bits1) = bits1 ⊦ bits2 + bits1 = [], bits0 = [], lastn(# bits1, bits0) = lastn(# bits1, fillsgn(# bits1, bitsand(bits2 + bits1, bits0))), bits1 = []

Rule argument

seq: ⊦ n ≤ # bits → fillsgn(n, bits) = bits subst: [bits, n] → [bits0, # bits1] rotate: F spec: bitopsaux inst: name: fillsgn-longer

Additional information

Used terms: bits0, # bits1