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Proof step 1 from proof ushort-plus-01 (conclusion)

⊦ 0 ≤ i ∧ i < 32767 ∧ us2i(sho) + i < 2 ^ 16 → us2i(i2s(s2i(sho) + i)) = us2i(sho) + i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < 32767, us2i(sho) + i < 65536, 0 ≤ i ⊦ us2i(i2s(s2i(sho) + i)) = us2i(sho) + i

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)