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Proof step 3 from proof ushort-band-02 (previous step)

⊦ band(us2i(sho), 255) = us2i(sho) % 256

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 0 ≤ i → band(i, 255) = i % 256

Rule argument

seq: ⊦ 0 ≤ i → band(i, 255) = i % 256 subst: [i] → [us2i(sho)] rotate: F spec: intops inst: name: band-255-pos

Additional information

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