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Proof step 94 from proof validrefs-lastelem (previous step)

st[r0 -- i '] = refval(r1), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), okarray(r0, st[r0 -- _type] .type .type, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, r0 ∈ st, r1 = jvmref ∨ is_valid_ref(str, r1, st) ∧ st[r1 -- _type] .type = st[r0 -- _type] .type .type ⊦ st[r0 -- _type] .type .type = void_type, r0 = jvmref, is_reftype(st[r0 -- _type] .type .type)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 93:
st[r0 -- _type] .type = mkarraytype(ty0), st[r0 -- i '] = refval(r1), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), okarray(r0, ty0, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, r0 ∈ st, r1 = jvmref ∨ is_valid_ref(str, r1, st) ∧ st[r1 -- _type] .type = ty0 ⊦ ty0 = void_type, r0 = jvmref, is_reftype(ty0)

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)]]