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Proof step 2 from proof short-in (previous step)

i ≤ 32767, 0 ≤ i ⊦ s2i(i2s(i)) = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ i ∧ i % 65536 ≤ 32767 → s2i(i2s(i)) = i % 65536
Proof step 4:
¬(0 ≤ i ∧ i % 65536 ≤ 32767), i ≤ 32767, 0 ≤ i ⊦ s2i(i2s(i)) = i
Proof step 7:
0 ≤ i ∧ i % 65536 ≤ 32767, i ≤ 32767, 0 ≤ i ⊦ i % 65536 = i

Rule argument

name: sis-pos-low rotate: F subst: [i] → [i]

Additional information

Used terms: i