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Proof step 42 from proof getsetShort-theorem (previous step)

ub2i(i2b(j)) < 256, 0 ≤ ub2i(i2b(j)), 0 ≤ j, j < 32768 ⊦ 256 * b2i(i2b(j / 256)) + ub2i(i2b(j)) = j, (j / 256)∈byte

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 43:
⊦ i ∈byte ↔ ~128 ≤ i ∧ i ≤ 127
Proof step 44:
ub2i(i2b(j)) < 256, 0 ≤ ub2i(i2b(j)), 0 ≤ j, j < 32768 ⊦ 256 * b2i(i2b(j / 256)) + ub2i(i2b(j)) = j, ~128 ≤ j / 256 ∧ j / 256 ≤ 127

Rule argument

spec: inst: name: inbyte seq: ⊦ i ∈byte ↔ ~128 ≤ i ∧ i ≤ 127 subst: [i] → [j / 256] flags: rewrite, current

Additional information

Used terms: j / 256