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Proof step 4 from proof bitsand-cast-04 (previous step)

# bits1 < n ⊦ sgn(bitsand(lastn(n, fillsgn(n, bits)), false ' + bits1)) = sgn(bitsand(bits, false ' + bits1)), bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ n ≤ # bits → fillsgn(n, bits) = bits
Proof step 6:
¬ n ≤ # bits, # bits1 < n ⊦ sgn(bitsand(lastn(n, fillsgn(n, bits)), false ' + bits1)) = sgn(bitsand(bits, false ' + bits1)), bits = []
Proof step 48:
n ≤ # bits, # bits1 < n ⊦ sgn(bitsand(lastn(n, bits), false ' + bits1)) = sgn(bitsand(bits, false ' + bits1)), bits = []

Rule argument

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

Additional information

Used terms: bits, n