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Proof step 13 from proof okarray-put-08 (previous step)

st[r0 -- _length] = intval(i), r0 -- _type ∈ st[r -- fs ', val0], is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), st[r0 -- _type] .type .type ≤ ty, r0 -- _length ∈ st[r -- fs ', val0], is_arrayref(r0, i, st), j < i, r0 -- _length ∈ st, r0 -- _type ∈ st, 0 ≤ i, 0 ≤ j, 0 < i, r0 ∈ st[r -- fs ', val0], r0 ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty) ⊦ fs ' = _length, fs ' = _type, r0 = jvmref, okval(st[r0 -- j '], ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st[r0 -- _type] .type, ty0] ,T ,javatype , ,elim-01 ]

Additional information

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