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Proof step 12 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_obj(str, r, st1 ∪ st) ∨ is_array(str, r, st1 ∪ st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , st1 .refs ∩ st .refs = ∅ ∧ r ∈ st1 ∧ is_array(str, r, st1) → is_array(str, r, st1 ∪ st) ,[st, st1, r, str] → [st, st1, r, str] ,F ,okfuns , ,is_array-union-disjoint ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (rset ∩ rset0) ∩ rset1 = rset ∩ rset0 ∩ rset1], [CSIMPSEQ : ⊦ rset ∩ rset0 = rset0 ∩ rset], [CSIMPSEQ : ⊦ ¬ is_array(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_obj(str, r, st))], [CSIMPSEQ : ⊦ st1 .refs ∩ st .refs = ∅ ∧ r ∈ st1 ∧ is_obj(str, r, st1) → is_obj(str, r, st1 ∪ st)])], [EXTRATERMS : (st, st1, r, str)]]