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Proof step 53 from proof initsubset-put-statfield-01 (previous step)

rk .ref = jvmref, is_fskey(rk .key), init⊆(str, st, st0), rk .key .fs .type ≠ void_type ∨ rk .key .fs .field ≠ `initstate' .field ∧ rk ≠ _uninit, ¬ rk .key ∈ statfields(rk .key .fs .class) ∨ ¬ tdname∃(str, rk .key .fs .class) ⊦ init⊆(str, st, st0[rk, val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 52:
rk = r -- sk, r = jvmref, is_fskey(sk), init⊆(str, st, st0), sk .fs .type ≠ void_type ∨ sk .fs .field ≠ `initstate' .field ∧ rk ≠ _uninit, ¬ sk ∈ statfields(sk .fs .class) ∨ ¬ tdname∃(str, sk .fs .class) ⊦ init⊆(str, st, st0[rk, val])

Rule argument

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

Additional information

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