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Proof step 3 from proof intshiftzero-mone (previous step)

⊦ bits2int(sublist(0, # fillsgn(32, int2bits(~1)), mklist(false, i→n(band(16, 31))) + fillsgn(32, int2bits(~1)))) = 65535

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ bits2int(sublist(0, # fillsgn(32, int2bits(~1)), mklist(false, i→n(bits2int(bitsand(int2bits(16), int2bits(31))))) + fillsgn(32, int2bits(~1)))) = 65535

Rule argument

Additional information

Used simplifier rules: band-num: ⊦ band((* i), (* j)) = bits2int(bitsand(int2bits(i), int2bits(j)));%band-associativity: ⊦ band(i, band(i0, j)) = band(band(i, i0), j);%band-commutativity: ⊦ band(i, j) = band(j, i);