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Proof step 2 from proof ushort-pos-02 (previous step)

~65536 ≤ i, i < 0 ⊦ us2i(i2s(i)) = i + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ s2i(sho) < 0 → us2i(sho) = 2 ^ 16 + s2i(sho)
Proof step 4:
¬ s2i(i2s(i)) < 0, ~65536 ≤ i, i < 0 ⊦ us2i(i2s(i)) = i + 65536
Proof step 16:
s2i(i2s(i)) < 0, ~65536 ≤ i, i < 0 ⊦ 2 ^ 16 + s2i(i2s(i)) = i + 65536

Rule argument

name: ushort-neg rotate: F subst: [sho] → [i2s(i)]

Additional information

Used terms: i2s(i)