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Proof step 1 from proof ushort-band (conclusion)

⊦ us2i(i2s(band(i, 255))) = band(i, 255)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ i ∧ i < 65536 → us2i(i2s(i)) = i
Proof step 3:
¬(0 ≤ band(i, 255) ∧ band(i, 255) < 65536) ⊦ us2i(i2s(band(i, 255))) = band(i, 255)

Rule argument

name: ushort-pos-01 rotate: F subst: [i] → [band(i, 255)]

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i); Used terms: band(i, 255)