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Proof step 7 from proof sis-sub-2pot (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i
Proof step 9:
~32768 ≤ i0 ∧ i0 ≤ 32767, ~65536 ≤ i0, i0 < 0, ~32769 < i0 ⊦ i0 = s2i(i2s(i0 + 65536))

Rule argument

name: num-issi rotate: F subst: [i] → [i0]

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i;%i + 1 = i0 ⊦ j < (* i0) → ¬ (* i) < j; Used terms: i0