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Proof step 34 from proof validref-subspec-samesubclasses (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), r ∈ st, same-subclasses(`java.lang.Object' .class, str, str0), junkref(str, r, st), r -- _type ∈ st, has_classtype(ty0), ∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r = jvmref, junkref(str0, r, st), same-subclasses(ty0 .jtelemtype .class, str, str0) ∧ (contains(str0, ty0 .jtelemtype, mkclasstype(class)) → same-subclasses(class, str, str0))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , same-subclasses(class, str, str0) ∧ class0 ≤ class → same-subclasses(class0, str, str0) ,[class, str, str0, class0] → [`java.lang.Object' .class, str, str0, ty0 .jtelemtype .class] ,F ,junkrefs , ,same-subclasses-subclass ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (`java.lang.Object' .class, str, str0, ty0 .jtelemtype .class)]]