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Proof step 26 from proof validref-subspec-samesubclasses (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ has_classtype(ty) ↔ is_classtype(ty .jtelemtype)

Rule argument

[speclemmaarg: ,has_classtype(ty) ↔ is_classtype(ty .jtelemtype) ,[ty] → [ty0] ,F ,typefuns , ,has-classtype ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty0)]]