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Proof step 5 from proof ushort-pos-02 (previous step)

0 ≤ s2i(i2s(i)), i < 0, ~65536 ≤ i ⊦ s2i(i2s(i)) = i + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: num-issi rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ i = i + j ↔ j = 0;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i