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Proof step 7 from proof bor-2pot-plus (previous step)

0 ≤ j * 2 ^ i, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, 0 ≤ j, 0 < 2 ^ i ⊦ bits2int(bitsinvert(bitsand(bitsinvert(uint2bits(j * 2 ^ i)), bitsinvert(int2bits(j0))))) = j * 2 ^ i + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 0 < i → (0 ≤ i * j ↔ 0 ≤ j);