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Proof step 57 from proof ushort-band-shift (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 58:
⊦ 1 * i = i
Proof step 59:
s2i(sho) = 256 * (j0 - 1), 255 + j0 = i * 256 + j, 0 ≤ j, ~255 < j0, j0 < 0, j < 256, 0 < i ⊦ j0 = (i * 256 - 256) + j + 1, i = 0, ~255 = j0, 255 + j0 = j

Rule argument

seq: ⊦ 1 * i = i subst: [i] → [256] rotate: F spec: int-mult inst: name: one

Additional information

Used terms: 256