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Proof step 20 from proof initsubset-initerror (previous step)

sk .fs = mkfs(class0, ty, fieldvar), is_fskey(sk), initdone(class3, st), tdname∃(str, class3), sk ∈ statfields(class3), tdname∃(str, class0), sk ∈ statfields(class0), initdone(class0, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]), initdone(class0, st) → validfield(str, jvmref, sk, st) ⊦ initdone(class, st), validfield(str, jvmref, sk, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
sk = fs ', fs = mkfs(class0, ty, fieldvar), is_fskey(sk), initdone(class3, st), tdname∃(str, class3), sk ∈ statfields(class3), tdname∃(str, class0), sk ∈ statfields(class0), initdone(class0, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)]), initdone(class0, st) → validfield(str, jvmref, sk, st) ⊦ initdone(class, st), validfield(str, jvmref, sk, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])

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)]]