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Proof step 52 from proof ushort-band-shift (previous step)

s2i(sho) = 256 * (j0 - 1), 255 + j0 = i * 256 + j, 0 ≤ i, 0 ≤ j, ~255 < j0, j0 < 0, j < 256 ⊦ ~255 = j0, 255 + j0 = j

User applied rule cut formula

And obtained the following new goals

Proof step 53:
s2i(sho) = 256 * (j0 - 1), 255 + j0 = i * 256 + j, 0 ≤ i, 0 ≤ j, ~255 < j0, j0 < 0, j < 256 ⊦ i = 0, ~255 = j0, 255 + j0 = j

Rule argument

fma: i = 0

Additional information

Used simplifier rules: ⊦ i + 0 = i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used formulas: i = 0