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Proof step 11 from proof okarray-put-other (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(ty0), 0 < i, 0 ≤ j, j < i, r -- _type ∈ st, is_arraytype(ty0), ty0 .type ≤ ty, r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = r1, r = jvmref, okval(st[r -- j '], ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
ty0 = mkarraytype(ty1), st[r -- _length] = intval(i), st[r -- _type] = typeval(ty0), 0 < i, 0 ≤ j, j < i, r -- _type ∈ st, is_arraytype(ty0), ty1 ≤ ty, r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = r1, r = jvmref, okval(st[r -- j '], ty)

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [ty0, ty1] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (ty0, ty1)]]