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Proof step 21 from proof validrefkeynotnull-union (previous step)

st[rk] = refval(r), rk ∈ st, validref(str, r, ty, st) ⊦ r = jvmref, validrefnotnull(str, r, ty, st0 ∪ st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ validrefnotnull(str, r, ty, st) ↔ r ≠ jvmref ∧ validref(str, r, ty, st)
Proof step 20:
st[rk] = refval(r), rk ∈ st, validref(str, r, ty, st) ⊦ r = jvmref, r ≠ jvmref ∧ validref(str, r, ty, st0 ∪ st)

Rule argument

[crewrite-arg: validrefnotnull-def , F , [st, ty, r, str] → [st0 ∪ st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0 ∪ st, ty, r, str)]]