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Proof step 10 from proof unchNorec-validrefs (previous step)

st[r -- _type] = st0[r -- _type], st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), st0[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), is_obj(str, r, st0), validrefs(str, r1 ' + refs, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), unchangedNorec(r, st, st0), is_classtype(ty), class0 ≤ ty .class, ∀ r0. r0 = r1 ∨ r0 ∈ refs → unchangedNorec(r0, st, st0), ∀ str0, ty1, st1, st2. validrefs(str0, r1 ' + refs, ty1, st1) ∧ (∀ r0. r0 = r1 ∨ r0 ∈ refs → unchangedNorec(r0, st1, st2)) → validrefs(str0, r1 ' + refs, ty1, st2) ⊦ r = jvmref, validrefs(str, r1 ' + refs, ty0, st0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: javatype instance-name: lemma-name: elim-02 antecedent: succedent: is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) substlist: [ty, class] → [ty, class1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class1)]]