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Proof step 12 from proof validrefkeynotnull-statfield-intersect (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validrefvalnotnull(str, val, ty, st) ↔ is_referencevalue(val) ∧ validrefnotnull(str, val .refval, ty, st)
Proof step 11:
st .refs ∩ st1 .refs = ∅, jvmref -- fs ' ∈ st, is_referencevalue(st[jvmref -- fs ']) ∧ validrefnotnull(str, st[jvmref -- fs '] .refval, ty, st), jvmref ∈ st1, jvmref ∈ st ⊦

Rule argument

[crewrite-arg: validrefvalnotnull-def , F , [st, ty, val, str] → [st, ty, st[jvmref -- fs '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, st[jvmref -- fs '], str)]]