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Proof step 13 from proof sis-sub-2pot (previous step)

i0 ≤ ~32769, i0 < 0, ~65536 ≤ i0 ⊦ s2i(i2s(i0)) = i0 + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ i < ~32768 ∧ ~65536 < i → s2i(i2s(i)) = i + 65536

Rule argument

name: sis-neg-lower rotate: F subst: [i] → [i0]

Additional information

Used simplifier rules: sis-neg-high: ⊦ i < 0 ∧ ~32768 ≤ i % 65536 → s2i(i2s(i)) = i % 65536;% ⊦ i + j = j + i;%j0 ≠ 0, j < j0 ⊦ i ≤ (* j) → i < (* j0);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i ≤ j → (j ≤ i ↔ i = j); Used terms: i0