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Proof step 7 from proof short-mod-01 (previous step)

s2i(sho) % i < ~32768, s2i(sho) % i < 0 ⊦ i = 0, s2i(i2s(s2i(sho) % i)) = s2i(sho) % i

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i0 ≤ i ∧ i0 < 0 ∧ j ≠ 0 → ¬ i % j < i0 subst: [i0, j, i] → [~32768, i, s2i(sho)] rotate: F spec: int-div inst: name: mod-nls-02

Additional information

Used simplifier rules: short-min-01: ⊦ ¬ s2i(sho) < ~32768;% ⊦ ¬ i ≤ j ↔ j < i; Used terms: ~32768, i, s2i(sho)