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Proof step 28 from proof sis-pos-high (previous step)

0 < i0 ∧ 0 ≤ j0 ∧ j0 < 2 ^ 16 ∧ 0 ≤ 16, # int2bits(j0) = 17, 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) + fillsgn(i→n(16 + 1), int2bits(j0)).rest)))) + 2 ^ 16

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2