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Proof step 411 from proof bitsand-cast (previous step)

# bits1 = 2 + # bits, sgn(mklist(true, m) + true ' + false ' + bits) = true ' + false ' + bits ⊦ bits3 = [], bits2 + mklist(true, m) = [], lastn(2 + # bits + m, fillsgn(2 + # bits + m, bits3 + bitsand(bits1, true ' + false ' + bits))) = lastn(2 + # bits + m, fillsgn(2 + # bits + m, bitsand(bits2 + mklist(true, m), bits3) + bitsand(bits1, true ' + false ' + bits))), bits1 = [], bits3 + bits1 = []

User applied rule cut formula

And obtained the following new goals

Proof step 412:
# bits3 ≤ m, # bits1 = 2 + # bits, sgn(mklist(true, m) + true ' + false ' + bits) = true ' + false ' + bits ⊦ bits3 = [], bits2 + mklist(true, m) = [], lastn(2 + # bits + m, fillsgn(2 + # bits + m, bits3 + bitsand(bits1, true ' + false ' + bits))) = lastn(2 + # bits + m, fillsgn(2 + # bits + m, bitsand(bits2 + mklist(true, m), bits3) + bitsand(bits1, true ' + false ' + bits))), bits1 = [], bits3 + bits1 = []
Proof step 465:
# bits1 = 2 + # bits, sgn(mklist(true, m) + true ' + false ' + bits) = true ' + false ' + bits ⊦ # bits3 ≤ m, bits3 = [], bits2 + mklist(true, m) = [], lastn(2 + # bits + m, fillsgn(2 + # bits + m, bits3 + bitsand(bits1, true ' + false ' + bits))) = lastn(2 + # bits + m, fillsgn(2 + # bits + m, bitsand(bits2 + mklist(true, m), bits3) + bitsand(bits1, true ' + false ' + bits))), bits1 = [], bits3 + bits1 = []

Rule argument

fma: # bits3 ≤ m

Additional information

Used formulas: # bits3 ≤ m