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Proof step 52 from proof getsetShort-theorem (previous step)

~32768 ≤ j, j ≤ 32767, ub2i(i2b(j)) < 256, ~128 ≤ j i>> 8, j i>> 8 ≤ 127, 0 ≤ ub2i(i2b(j)) ⊦ ub2i(i2b(j)) + 256 * (j i>> 8) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 53:
⊦ 0 ≤ i → i i>> 8 = i / 256
Proof step 54:
¬ 0 ≤ j, ~32768 ≤ j, j ≤ 32767, ub2i(i2b(j)) < 256, ~128 ≤ j i>> 8, j i>> 8 ≤ 127, 0 ≤ ub2i(i2b(j)) ⊦ ub2i(i2b(j)) + 256 * (j i>> 8) = j
Proof step 84:
0 ≤ j, ~32768 ≤ j, j ≤ 32767, ub2i(i2b(j)) < 256, ~128 ≤ j / 256, j / 256 ≤ 127, 0 ≤ ub2i(i2b(j)) ⊦ ub2i(i2b(j)) + 256 * j / 256 = j

Rule argument

spec: intops inst: name: intshiftrsign-pos-8 seq: ⊦ 0 ≤ i → i i>> 8 = i / 256 subst: [i] → [j] flags: rewrite

Additional information

Used terms: j