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Proof step 76 from proof getsetShort-theorem (previous step)

j % 256 = 0, j / 256 ≤ 127, ~128 ≤ j / 256, ub2i(i2b(j)) < 256, ~32768 ≤ j, j < 0, 0 < ub2i(i2b(j)) ⊦ ub2i(i2b(j)) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 77:
⊦ b2i(by) < 0 → ub2i(by) = 256 + b2i(by)
Proof step 78:
¬ b2i(i2b(j)) < 0, j % 256 = 0, j / 256 ≤ 127, ~128 ≤ j / 256, ub2i(i2b(j)) < 256, ~32768 ≤ j, j < 0, 0 < ub2i(i2b(j)) ⊦ ub2i(i2b(j)) = 0
Proof step 81:
b2i(i2b(j)) < 0, j % 256 = 0, j / 256 ≤ 127, ~128 ≤ j / 256, 256 + b2i(i2b(j)) < 256, ~32768 ≤ j, j < 0, 0 < 256 + b2i(i2b(j)) ⊦ 256 + b2i(i2b(j)) = 0

Rule argument

spec: inst: name: ubyte-neg seq: ⊦ b2i(by) < 0 → ub2i(by) = 256 + b2i(by) subst: [by] → [i2b(j)] flags: rewrite, current

Additional information

Used terms: i2b(j)