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Proof step 6 from proof validref-addarray-same (previous step)

is_valid_ref(str, r, addarray(r, ty, i, st)) ⊦ r = jvmref, junkref(str, r, addarray(r, ty, i, st)), ¬ i < 0 ∧ type∃(str, ty) ∧ ty .jtelemtype ≠ abstract_type ∧ ty .jtelemtype ≠ void_type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 5:
⊦ type∃(str, ty) ∧ r ≠ jvmref ∧ 0 ≤ i ∧ ty .jtelemtype ≠ abstract_type ∧ ty .jtelemtype ≠ void_type → ¬ junkref(str, r, addarray(r, ty, i, st))

Rule argument

[speclemmaarg: ,is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st) ,[st, r, str] → [addarray(r, ty, i, st), r, str] ,F ,addfuns , ,is-valid-ref-stronger-def ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_obj (str, r, addarray(r, ty, i, st))], [CSIMPSEQ : ⊦ is_array (str, r, addarray(r, ty, i, st)) ↔ ¬ ¬ ( type∃(str, ty) ∧ 0 ≤ i ∧ r ≠ jvmref ∧ ty .jtelemtype ≠ void_type ∧ ty .jtelemtype ≠ abstract_type)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])], [EXTRATERMS : (addarray(r, ty, i, st), r, str)]]