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Proof step 40 from proof validref-subspec-samesubclasses (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ same-subclasses-contains(class, str, str0) ↔ same-subclasses(class, str, str0) ∧ (∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0))
Proof step 39:
st[r -- _type] = typeval(mkarraytype(ty0)), r ∈ st, same-subclasses(`java.lang.Object' .class, str, str0) ∧ (∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0)), junkref(str, r, st), r -- _type ∈ st ⊦ r = jvmref, same-subclasses-contains(ty0 .jtelemtype .class, str, str0), junkref(str0, r, st)

Rule argument

[crewrite-arg: same-subclasses-all-def , F , [str0, str, class] → [str0, str, `java.lang.Object' .class] ]

Additional information

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