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Proof step 8 from proof junkrefs-union-disjoint (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ r ∈ st ↔ r ∈ st .refs
Proof step 7:
st1 .refs ∩ st .refs = ∅, r -- _type ∈ st, r ∈ st1 .refs, is_valid_ref(str, r, st1), st1[r -- _type] .type ≤ ty, r ∈ st, ¬ is_valid_ref(str, r, st1 ∪ st) ∨ ¬ st[r -- _type] .type ≤ ty ⊦ r = jvmref

Rule argument

[speclemmaarg: ,r ∈ st ↔ r ∈ st .refs ,[st, r] → [st1, r] ,F ,storefunsx , ,instore-inrefs ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, r)]]