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Proof step 11 from proof sis-pos-high (previous step)

32767 < i0 * 2 ^ 16 + j0, 0 < j0, 0 < i0 * 2 ^ 16 + j0, 0 ≤ i0, 0 ≤ j0, 32767 < j0, 32767 < i0 * 2 ^ 16 + j0, j0 < 2 ^ 16 ⊦ j0 = s2i(i2s(bits2int(lastn(16, int2bits(i0 * 2 ^ 16 + j0))))) + 2 ^ 16

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%commutativity: ⊦ i * j = j * i; from specification int-mult