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Proof step 127 from proof validref-refs-last-valid-subset (previous step)

st0[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- _type] = typeval(mkclasstype(class0)), st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), acc + r1 ' = r2 ' + refs, st ⊆ st0, validref(str, r0, mkclasstype(class0), st), class+∃(str, class0), is_obj(r0, class0, st0), r0 -- _type ∈ st0, r0 ∈ st0, validrefs(str, r2 ' + refs, ty0, st0), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), is_classtype(ty), class0 ≤ ty .class, ∀ str, r, st, st0, r1, ty. validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ r ∈ acc ∧ validrefs(str, acc + r1 ', ty, st0) → validref(str, r1, st[r1 -- _type] .type, st) ⊦ r0 = jvmref, validref(str, r1, st[r1 -- _type] .type, st), is_abstract(class0), ¬ r2 ∈ acc ∧ r2 ≠ r1, r1 ≠ r2 ∧ ¬ r1 ∈ refs

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, class1] ,T ,javatype , ,elim-02 ]

Additional information

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