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Proof step 10 from proof validstatfield-validref (previous step)

st[jvmref -- sk] = refval(r), sk .fs = mkfs(class, ty, fieldvar), is_fskey(sk), initdone(class, st), tdname∃(str, class), sk ∈ statfields(class), validfield(str, jvmref, sk, st) ⊦ validref(str, r, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
sk = fs ', st[jvmref -- sk] = refval(r), fs = mkfs(class, ty, fieldvar), is_fskey(sk), initdone(class, st), tdname∃(str, class), sk ∈ statfields(class), validfield(str, jvmref, sk, st) ⊦ validref(str, r, ty, st)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]