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Proof step 41 from proof sis-neg-high (previous step)

int2bits(j) ≠ [], ~32768 < j, # int2bits(j) ≤ 16, ~32768 ≤ j, 65536 * i0 + j < ~32768, 65536 * i0 + j < 0, i0 < 0, j < 0 ⊦ s2i(i2s(bits2int(int2bits(j)))) = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 42:
~32768 < j, # int2bits(j) ≤ 16, ~32768 ≤ j, 65536 * i0 + j < ~32768, 65536 * i0 + j < 0, i0 < 0, j < 0 ⊦ s2i(i2s(j)) = j

Rule argument

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i * j = j * i;% ⊦ int2bits(j) ≠ [];% ⊦ bits2int(int2bits(i)) = i;