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Proof step 2 from proof mod-inshort (previous step)

⊦ s2i(sho1) = 0, (s2i(sho0) % s2i(sho1))∈short

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i ∈short ↔ ~32768 ≤ i ∧ i ≤ 32767
Proof step 4:
⊦ s2i(sho1) = 0, ~32768 ≤ s2i(sho0) % s2i(sho1) ∧ s2i(sho0) % s2i(sho1) ≤ 32767

Rule argument

spec: inst: name: inshort seq: ⊦ i ∈short ↔ ~32768 ≤ i ∧ i ≤ 32767 subst: [i] → [s2i(sho0) % s2i(sho1)] flags: rewrite, current

Additional information

Used terms: s2i(sho0) % s2i(sho1)