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Proof step 4 from proof bor-2pot-plus-01 (previous step)

int2bits(j * 2 ^ i) ≠ [] ∧ int2bits(j0) ≠ [], j < 2 ^ i, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, j < 0, 0 < 2 ^ i, j < i, j < j0, j + 1 < 2 ^ i ⊦ bits2int(bitsinvert(bitsand(bitsinvert(int2bits(j * 2 ^ i)), bitsinvert(int2bits(j0))))) = j * 2 ^ i + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
j < 2 ^ i, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, j < 0, 0 < 2 ^ i, j < i, j < j0, j + 1 < 2 ^ i ⊦ bits2int(bitsinvert(bitsand(bitsinvert(int2bits(j * 2 ^ i)), bitsinvert(int2bits(j0))))) = j * 2 ^ i + j0

Rule argument

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ [];