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Proof step 21 from proof isarray-keyin (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
st[r0 -- _type] .type = mkarraytype(ty), st[r -- sk] = refval(r0), 0 < st[r -- (sk ' + _length ')] .intval, 0 ≤ i, i < st[r -- (sk ' + _length ')] .intval, r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), okarray(r0, ty, st), r0 ∈ st ⊦ r0 = jvmref, r0 -- i ' ∈ st

Rule argument

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

Additional information

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