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Proof step 5 from proof short-length (previous step)

r ∈ st, okarray(r, ty, st), st[r -- _length] .intval ≤ 32767 ⊦ r = jvmref, s2i(i2s(st[r -- _length] .intval)) = st[r -- _length] .intval, st[r -- _length] .intval ∈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:
⊦ okarray(r, ty, st) → ¬ st[r -- _length] .intval < 0

Rule argument

[speclemmaarg: ,i ∈short ↔ (~32768) ≤ i ∧ i ≤ 32767 ,[i] → [st[r -- _length] .intval] ,F ,byte , ,inshort ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : j0 ≠ 0, j ≤ j0 ⊦ i ≤ ((* j)) → i ≤ ((* j0))], [CSIMPFORWARD : ⊦ i < ((* j)) ∧ j < 0 → i < 0])], [EXTRATERMS : (st[r -- _length] .intval)]]