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Proof step 2 from proof validfieldlist-mode (previous step)

_mode .key ∈ sks ⊦ validfieldlist(str, jvmref, sks, st[_mode, val]) ↔ validfieldlist(str, jvmref, sks, st), mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ sks

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ _mode = r -- sk → r = jvmref], [CSIMPSEQ : ⊦ _mode = jvmref -- sk ↔ sk = mkfs (`java.lang.Object' .class, void_type, `mode' .field) '], [CSIMPELIM : ⊦ r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk])], [EXTRATERMS : (_mode, r, sk)]]