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Proof step 5 from proof validrefkeynotnull-refval-in (previous step)

st[r -- sk] = refval(r0), r -- sk ∈ st, validrefnotnull(str, r0, ty, st), r ∈ st ⊦ r0 ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validrefnotnull(str, r, ty, st) ↔ r ≠ jvmref ∧ validref(str, r, ty, st)
Proof step 4:
⊦ ¬ r ∈ st ∧ r ≠ jvmref → ¬ validref(str, r, ty, st)

Rule argument

[crewrite-arg: validrefnotnull-def , F , [st, ty, r, str] → [st, ty, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r0, str)]]