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Proof step 3 from proof ushort-band-shift-01 (previous step)

⊦ band(us2i(sho) i>> 8, 255) = us2i(sho) / 256

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 0 ≤ i ∧ 0 < j ∧ j < 32 → i i>> j = i / 2 ^ j
Proof step 5:
0 ≤ us2i(sho) ∧ 0 < 8 ∧ 8 < 32 ⊦ band(us2i(sho) / 2 ^ 8, 255) = us2i(sho) / 256

Rule argument

seq: ⊦ 0 ≤ i ∧ 0 < j ∧ j < 32 → i i>> j = i / 2 ^ j subst: [j, i] → [8, us2i(sho)] rotate: F spec: intops inst: name: shiftrsign-2pot-pos

Additional information

Used simplifier rules: ushort-nlsz: ⊦ ¬ us2i(sho) < 0;% ⊦ ¬ i ≤ j ↔ j < i; Used terms: 8, us2i(sho)