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Proof step 32 from proof exvalidrefs-nodups (previous step)

st[r -- mkfs(class0, ty, fieldvar) '] = refval(r0), st[r -- _type] .type = mkclasstype(class1), is_obj(str, r0, st), class1 ≤ class, junkrefs(str, (r0 ' + refs) + r ', st[r0 -- _type] .type, st -- r), st[r0 -- _type] .type ≤ mkclasstype(class), st[r0 -- _type] .type ≤ ty, is_obj(str, r, st), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), ty ≤ mkclasstype(class), is_classtype(ty), class1 ≤ ty .class, ∀ r, str, st0. # st0 .refs < # st .refs → ( ¬ junkref(str, r, st0) ∧ ¬ cyclic(str, r, st0) ∧ is_obj(str, r, st0) ∧ r ≠ jvmref ∧ (∃ fs, class. fs ' ∈ instfields(class) ∧ fs .type ≤ mkclasstype(class) ∧ st0[r -- _type] .type ≤ fs .type) → (∃ refs. validrefs(str, refs, st0[r -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ refs .last = jvmref)) ⊦ r0 = jvmref, r = jvmref, r = r0, junkref(str, r0, st), r ∈ refs, ∃ fs. fs ' ∈ instfields(class1) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ validrefs(str, (st[r -- fs '] .refval ' + refs) + r ', fs .type, st), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ refs .last = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty, class2] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class2)]]