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Proof step 11 from proof sis-neg-low (previous step)

65536 = 2 ^ 16, # int2bits(j0) = 17, j0 < ~32768, i0 * 65536 + j0 < ~32768, ~65536 < j0, i0 ≤ 0, i0 * 65536 + j0 < 0, j0 < 0 ⊦ s2i(i2s(bits2int(lastn(16, int2bits(i0 * 65536 + j0))))) = j0 + 65536, j0 = 0

User applied rule insert equation

And obtained the following new goals

Proof step 12:
# int2bits(j0) = 17, j0 < ~32768, i0 * 2 ^ 16 + j0 < ~32768, ~65536 < j0, i0 ≤ 0, i0 * 2 ^ 16 + j0 < 0, j0 < 0 ⊦ s2i(i2s(bits2int(lastn(16, int2bits(i0 * 2 ^ 16 + j0))))) = j0 + 2 ^ 16, j0 = 0

Rule argument

pos: left 1 flags: discard

Proof step 11 from proof sis-neg-low (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information