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Proof step 13 from proof unchNorec-isobj (previous step)

st0[r -- _type] = typeval(mkclasstype(class)), st[r -- _type] = typeval(mkclasstype(class)), is_fskey(sk), r ∈ st0, r -- _type ∈ st0, unchangedNorec(r, st, st0), r -- _type ∈ st, r ∈ st, sk ∈ instfields(class), r -- sk ∈ st, okval(st[r -- sk], sk .fs .type), ∀ fs. fs ' ∈ instfields(class) → st[r -- fs '] = st0[r -- fs '] ⊦ r = jvmref, okval(st0[r -- sk], sk .fs .type) ∧ r -- sk ∈ st0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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, fs0] 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, fs0)]]