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Proof step 13 from proof junkrefs-union-disjoint (previous step)

st1 .refs ∩ st .refs = ∅, r ∈ st1, is_valid_ref(str, r, st1), st1[r -- _type] .type ≤ ty ⊦ r = jvmref, r -- _type ∈ st, is_valid_ref(str, r, st1 ∪ st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st) ,[st, r, str] → [st1 ∪ st, r, str] ,F ,addfuns , ,is-valid-ref-stronger-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1 ∪ st, r, str)]]