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Proof step 10 from proof validrefkeynotnull-statfield-intersect (previous step)

st .refs ∩ st1 .refs = ∅, jvmref ∈ st, jvmref ∈ st1, validrefnotnull(str, st[jvmref -- fs '] .refval, ty, st), is_referencevalue(st[jvmref -- fs ']), jvmref -- fs ' ∈ st ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
st[jvmref -- fs '] = refval(r), st .refs ∩ st1 .refs = ∅, jvmref ∈ st, jvmref ∈ st1, validrefnotnull(str, r, ty, st), is_referencevalue(st[jvmref -- fs ']), jvmref -- fs ' ∈ st ⊦

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[jvmref -- fs '], r] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[jvmref -- fs '], r)]]