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Proof step 10 from proof getsetShort-theorem (previous step)

~32768 ≤ j, j ≤ 32767, ub2i(i2b(j)) < 256, 0 ≤ ub2i(i2b(j)) ⊦ ub2i(i2b(j)) + 256 * b2i(i2b(j i>> 8)) = j, (j i>> 8)∈byte

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ 0 ≤ i ∧ i < 32 → j i>> i = j >> i
Proof step 12:
0 ≤ 8 ∧ 8 < 32, ~32768 ≤ j, j ≤ 32767, ub2i(i2b(j)) < 256, 0 ≤ ub2i(i2b(j)) ⊦ ub2i(i2b(j)) + 256 * b2i(i2b(j >> 8)) = j, (j >> 8)∈byte

Rule argument

spec: intops inst: name: intshiftright-unbounded-same seq: ⊦ 0 ≤ i ∧ i < 32 → j i>> i = j >> i subst: [i, j] → [8, j] flags: rewrite

Additional information

Used terms: 8, j