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Proof step 42 from proof bitsand-cast-01 (previous step)

# bits1 = # bitsand(bits1, bits), # bits = # bits1, # bits1 ≤ # bitsand(bits2, bits3) + # bitsand(bits1, bits) ⊦ bits2 + bits1 = [], bits2 = [], bits3 + bits = [], bits1 = [], bits3 = [], lastn(# bits1, fillsgn(# bits1, bitsand(bits3 + bits, bits1))) = bitsand(bits1, bits)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
# bits = # bits1, # bits1 = # bitsand(bits1, bits) ⊦ lastn(# bits1, fillsgn(# bits1, bitsand(bits3 + bits, bits1))) = bitsand(bits1, bits), bits3 = [], bits1 = [], bits3 + bits = [], bits2 = [], bits2 + bits1 = []

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m ≤ m + n;