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Proof step 2 from proof validrefkeynotnull-no-newrefs (previous step)

st[r -- sk] = refval(r), newref(r, st), validrefkeynotnull(str, r -- sk, ty, st) ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validrefkeynotnull(str, rk, ty, st) ↔ rk ∈ st ∧ validrefvalnotnull(str, st[rk], ty, st)

Rule argument

[crewrite-arg: validrefkeynotnull-def , F , [st, ty, rk, str] → [st, ty, r -- sk, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk ∈ st → ¬ newref(r, st)])], [EXTRATERMS : (st, ty, r -- sk, str)]]