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Proof step 31 from proof okarray-put-07 (previous step)

st[r0 -- _type] .type = mkarraytype(ty0), 0 < st[r0 -- _length] .intval, 0 ≤ j, 0 ≤ st[r0 -- _length] .intval, r0 ∈ st, j < st[r0 -- _length] .intval, is_arrayref(r0, st[r0 -- _length] .intval, st), r0 -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j0 → okval(st[r0 -- j0 '], 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 30:
st[r0 -- _type] = typeval(ty1), ty1 = mkarraytype(ty0), 0 < st[r0 -- _length] .intval, 0 ≤ j, 0 ≤ st[r0 -- _length] .intval, r0 ∈ st, j < st[r0 -- _length] .intval, is_arrayref(r0, st[r0 -- _length] .intval, st), r0 -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j0 → okval(st[r0 -- j0 '], 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], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty1)]]