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Proof step 9 from proof compat-addclass (previous step)

fis .keys = statfields(class), compatmode(str, st[_mode], st), _mode ∈ st, compatstatic(str, st), compatrefs(str, st), okfieldinits(class, fis), _mode .key ∈ fis ⊦ compatmode(str, addclass(class, fis, st)[_mode], addclass(class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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)]]