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Proof step 6 from proof validfieldlist-mode (previous step)

⊦ validfieldlist(str, jvmref, sks, st[_mode, val]) ↔ validfieldlist(str, jvmref, sks, st), _mode .key ∈ sks

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
_mode = r -- sk ⊦ validfieldlist(str, jvmref, sks, st[_mode, val]) ↔ validfieldlist(str, jvmref, sks, st), sk ∈ sks

Rule argument

[speclemmaarg: ,r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk ,[rk, r, sk] → [_mode, r, sk] ,T ,refkey , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk])], [EXTRATERMS : (_mode, r, sk)]]