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

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