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Proof step 6 from proof validrefkeynotnull-statfield-intersect (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rset ∩ rset0 = ∅ ↔ (∀ r. ¬ r ∈ rset ∨ ¬ r ∈ rset0)
Proof step 5:
st[jvmref -- fs '] = refval(r), ∀ r. ¬ r ∈ st .refs ∨ ¬ r ∈ st1 .refs, jvmref ∈ st, jvmref ∈ st1, validref(str, r, ty, st), jvmref -- fs ' ∈ st ⊦ r = jvmref

Rule argument

[speclemmaarg: ,rset ∩ rset0 = ∅ ↔ (∀ r. ¬ r ∈ rset ∨ ¬ r ∈ rset0) ,[rset0, rset] → [st1 .refs, st .refs] ,F ,set-union ,references ,int-empty-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1 .refs, st .refs)]]