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Proof step 181 from proof bitsand-cast (previous step)

false ' + true ' + bits1 ≠ [] ∧ bits2 + bits ≠ [], # bits = 2 + # bits1, n = # fillsgn(n, false ' + true ' + bits1), # bits < n ⊦ bits2 + bits = [], bits2 = [], lastn(n, fillsgn(n, bitsand(bits, false ' + true ' + bits1))) = lastn(n, fillsgn(n, bitsand(bits2 + bits, false ' + true ' + bits1)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 182:
# bits = 2 + # bits1, n = # fillsgn(n, false ' + true ' + bits1), # bits < n ⊦ bits2 = [], lastn(n, fillsgn(n, bitsand(bits, false ' + true ' + bits1))) = lastn(n, fillsgn(n, bitsand(bits2 + bits, false ' + true ' + bits1))), bits2 + bits = []

Rule argument

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits ≠ [];