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Proof step 13 from proof okarray-del (previous step)

st[r0 -- _length] = intval(i), 0 ≤ i, r0 ∈ st, is_arrayref(r0, i, st), r0 -- _length ∈ st, st[r0 -- _type] .type .type ≤ ty, is_arraytype(st[r0 -- _type] .type), is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, j < i, 0 ≤ j, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty) ⊦ r0 = jvmref, r = r0, okval(st[r0 -- j '], ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r0 -- _type] = typeval(ty0), st[r0 -- _length] = intval(i), 0 ≤ i, r0 ∈ st, is_arrayref(r0, i, st), r0 -- _length ∈ st, ty0 .type ≤ ty, is_arraytype(ty0), is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, j < i, 0 ≤ j, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty) ⊦ r0 = jvmref, r = r0, okval(st[r0 -- j '], ty)

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)]]