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Proof step 9 from proof validstatfield-subset (previous step)

sk .fs = mkfs(class, ty, fieldvar), is_fskey(sk), validstatfield(str, sk, st), st ⊆ st0, initdone(class, st0), initdone(class, st) ⊦ validfield(str, jvmref, sk, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
sk = fs ', fs = mkfs(class, ty, fieldvar), is_fskey(sk), validstatfield(str, sk, st), st ⊆ st0, initdone(class, st0), initdone(class, st) ⊦ validfield(str, jvmref, sk, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class)

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-03 antecedent: succedent: is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') substlist: [sk, fs] → [sk, fs] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]