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Proof step 12 from proof sis-pos-high (previous step)

0 < j0, 0 < i0 * 65536 + j0, 0 ≤ i0, 0 ≤ j0, 32767 < j0, 32767 < i0 * 65536 + j0, j0 < 65536 ⊦ j0 = s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j0))))) + 65536

User applied rule cut formula

And obtained the following new goals

Proof step 13:
# int2bits(j0) = 17, 0 < j0, 0 < i0 * 65536 + j0, 0 ≤ i0, 0 ≤ j0, 32767 < j0, 32767 < i0 * 65536 + j0, j0 < 65536 ⊦ j0 = s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j0))))) + 65536
Proof step 47:
0 < j0, 0 < i0 * 65536 + j0, 0 ≤ i0, 0 ≤ j0, 32767 < j0, 32767 < i0 * 65536 + j0, j0 < 65536 ⊦ # int2bits(j0) = 17, j0 = s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j0))))) + 65536

Rule argument

fma: # int2bits(j0) = 17

Additional information

Used formulas: # int2bits(j0) = 17