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Proof step 19 from proof isarray-keyin (previous step)

st[r -- sk] = refval(r0), st[r0 -- _type] .type = mkarraytype(ty), r0 ∈ st, okarray(r0, ty, st), is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, i < st[r -- (sk ' + _length ')] .intval, 0 ≤ i, 0 < st[r -- (sk ' + _length ')] .intval ⊦ r0 = jvmref, r0 -- i ' ∈ st

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
st[r0 -- _type] = typeval(ty0), st[r -- sk] = refval(r0), ty0 = mkarraytype(ty), r0 ∈ st, okarray(r0, ty, st), is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, i < st[r -- (sk ' + _length ')] .intval, 0 ≤ i, 0 < st[r -- (sk ' + _length ')] .intval ⊦ r0 = jvmref, r0 -- i ' ∈ st

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty0)]]