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Proof step 10 from proof bor-2pot-plus-01 (previous step)

0 ≤ i ∧ j < 0, j < 2 ^ i, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, 0 < 2 ^ i, j < i, j < j0, j + 1 < 2 ^ i, j < 0 ⊦ bits2int(bitsinvert(bitsand(bitsinvert(sgn(bitsinvert(uint2bits(~ j) + mklist(false, i→n(i))) +1)), bitsinvert(int2bits(j0))))) = j * 2 ^ i + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
j < 2 ^ i, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, 0 < 2 ^ i, j < i, j < j0, j + 1 < 2 ^ i, j < 0 ⊦ bits2int(bitsinvert(bitsand(bitsinvert(sgn((bitsinvert(uint2bits(~ j)) + mklist(true, i→n(i)))+1)), bitsinvert(int2bits(j0))))) = j * 2 ^ i + j0

Rule argument

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bitsinvert(mklist(boolvar, n)) = mklist(¬ boolvar, n);% ⊦ bitsinvert(bits + bits0) = bitsinvert(bits) + bitsinvert(bits0);