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Proof step 8 from proof exactarray-in (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, r -- _type ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval ⊦ r = jvmref, r -- i ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ is_arrayref(r, i, st) ↔ (∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st)
Proof step 7:
st[r -- _type] = typeval(mkarraytype(ty)), r ∈ st, ∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → r -- j ' ∈ st, r -- _length ∈ st, r -- _type ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval ⊦ r = jvmref, r -- i ' ∈ st

Rule argument

[speclemmaarg: ,is_arrayref(r, i, st) ↔ (∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st) ,[st, i, r] → [st, st[r -- _length] .intval, r] ,F ,storearrays , ,is_arrayref ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _length] .intval, r)]]