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Proof step 5 from proof getsetShort-theorem (previous step)

~32768 ≤ j, j ≤ 32767, band(255, b2i(i2b(j))) < 256, 0 ≤ band(255, b2i(i2b(j))) ⊦ band(255, b2i(i2b(j))) + 256 * b2i(i2b(j i>> 8)) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ band(b2i(by), 255) = ub2i(by)
Proof step 7:
~32768 ≤ j, j ≤ 32767, ub2i(i2b(j)) < 256, 0 ≤ ub2i(i2b(j)) ⊦ ub2i(i2b(j)) + 256 * b2i(i2b(j i>> 8)) = j

Rule argument

spec: inst: name: band-ff seq: ⊦ band(b2i(by), 255) = ub2i(by) subst: [by] → [i2b(j)] flags: rewrite, current

Additional information

Used simplifier rules: band-commutativity: ⊦ band(i, j) = band(j, i); from specification intops Used terms: i2b(j)