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Proof step 10 from proof sis-sub-2pot (previous step)

~32768 ≤ i0, i0 < 0 ⊦ i0 = s2i(i2s(i0 + 65536))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ 32768 ≤ i ∧ i < 65536 → s2i(i2s(i)) = i - 65536

Rule argument

name: sis-pos-upper rotate: F subst: [i] → [i0 + 65536]

Additional information

Used simplifier rules: ⊦ i + 0 = i;% ⊦ (* i) + i0 - (* j) = (i - j) + i0;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ i + (* j) < (* j0) ↔ i < j0 - j;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i0 + 65536