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Proof step 29 from proof junkrefs-primarray (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ okreftype(val, ty, st) ↔ is_referencevalue(val) ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty)
Proof step 28:
is_primtype(ty), is_referencevalue(refval(r)) ∧ ( refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r) .refval -- _type]) ∧ st[refval(r) .refval -- _type] .type ≤ mkarraytype(ty)), r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), is_array(r, st), r ∈ st, 0 ≤ st[r -- _length] .intval, ¬ st[r -- _type] .type ≤ mkarraytype(ty) ∨ st[r -- _type] .type .jtelemtype = abstract_type ∨ st[r -- _type] .type .jtelemtype = void_type ∨ ¬ type∃(str, st[r -- _type] .type), ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref

Rule argument

[speclemmaarg: , okreftype(val, ty, st) ↔ is_referencevalue(val) ∧ ( val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty) ,[st, ty, val] → [st, mkarraytype(ty), refval(r)] ,F ,okfuns , ,okreftype ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkarraytype(ty), refval(r))]]