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Proof step 25 from proof junkrefs-primarray (previous step)

st[r -- _type] .type = mkarraytype(ty0), ty0 ≤ ty, is_typevalue(st[r -- _type]), r -- _type ∈ st, 0 ≤ st[r -- _length] .intval, r ∈ st, is_array(r, st), is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, is_primtype(ty), ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty), ty0 .jtelemtype = abstract_type ∨ ty0 .jtelemtype = void_type ∨ ¬ type∃(str, ty0) ⊦ r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 24:
st[r -- _type] = typeval(ty1), ty1 = mkarraytype(ty0), ty0 ≤ ty, is_typevalue(st[r -- _type]), r -- _type ∈ st, 0 ≤ st[r -- _length] .intval, r ∈ st, is_array(r, st), is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, is_primtype(ty), ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty), ty0 .jtelemtype = abstract_type ∨ ty0 .jtelemtype = void_type ∨ ¬ type∃(str, ty0) ⊦ r = jvmref

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

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