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Proof step 17 from proof bitsand-cast-04 (previous step)

# bits1 ≤ # bits0 + n0 ⊦ n0 = 0, sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits0, false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1))

User applied rule cut formula

And obtained the following new goals

Proof step 18:
# bits1 ≤ # bits0, # bits1 ≤ # bits0 + n0 ⊦ n0 = 0, sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits0, false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1))
Proof step 28:
# bits1 ≤ # bits0 + n0 ⊦ # bits1 ≤ # bits0, n0 = 0, sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits0, false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1))

Rule argument

fma: # bits1 ≤ # bits0

Additional information

Used formulas: # bits1 ≤ # bits0