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Proof step 7 from proof ushort-plus-01 (previous step)

¬ 0 ≤ s2i(i2s(i)), i < 32767, us2i(sho) + i < 65536, 0 ≤ i, ¬ 65536 ≤ us2i(sho) + us2i(i2s(i)) → us2i(i2s(s2i(sho) + s2i(i2s(i)))) = us2i(sho) + us2i(i2s(i)) ⊦ us2i(i2s(s2i(sho) + i)) = us2i(sho) + i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
s2i(i2s(i)) < 0, 0 ≤ i, us2i(sho) + i < 65536, i < 32767, ¬ 65536 ≤ us2i(sho) + us2i(i2s(i)) → us2i(i2s(s2i(sho) + s2i(i2s(i)))) = us2i(sho) + us2i(i2s(i)) ⊦ us2i(i2s(s2i(sho) + i)) = us2i(sho) + i

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ ¬ i ≤ j ↔ j < i;