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Proof step 9 from proof sis-neg-high (previous step)

abs(j) < 65536, ~32768 ≤ j, i0 * 65536 + j < ~32768, j ≤ 0, i0 ≤ 0, i0 * 65536 + j < 0 ⊦ s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j))))) = j

User applied rule cut formula

And obtained the following new goals

Proof step 10:
# int2bits(j) ≤ 16, abs(j) < 65536, ~32768 ≤ j, i0 * 65536 + j < ~32768, j ≤ 0, i0 ≤ 0, i0 * 65536 + j < 0 ⊦ s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j))))) = j
Proof step 44:
abs(j) < 65536, ~32768 ≤ j, i0 * 65536 + j < ~32768, j ≤ 0, i0 ≤ 0, i0 * 65536 + j < 0 ⊦ # int2bits(j) ≤ 16, s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j))))) = j

Rule argument

fma: # int2bits(j) ≤ 16

Additional information

Used formulas: # int2bits(j) ≤ 16