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Proof step 1 from proof ushort-plus (conclusion)

⊦ us2i(sho) + us2i(sho0) < 2 ^ 16 → us2i(i2s(s2i(sho) + s2i(sho0))) = us2i(sho) + us2i(sho0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ s2i(sho) < 0 → us2i(sho) = 2 ^ 16 + s2i(sho)
Proof step 3:
¬ s2i(sho) < 0 ⊦ us2i(sho) + us2i(sho0) < 2 ^ 16 → us2i(i2s(s2i(sho) + s2i(sho0))) = us2i(sho) + us2i(sho0)
Proof step 21:
s2i(sho) < 0 ⊦ (2 ^ 16 + s2i(sho)) + us2i(sho0) < 2 ^ 16 → us2i(i2s(s2i(sho) + s2i(sho0))) = (2 ^ 16 + s2i(sho)) + us2i(sho0)

Rule argument

name: ushort-neg rotate: F subst: [sho] → [sho]

Additional information

Used terms: sho