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Proof step 41 from proof validref-subspec-samesubclasses (previous step)

ty = mkarraytype(ty0), st[r -- _type] = typeval(ty), is_arraytype(ty), r ∈ st, ty ≤ mkclasstype(class), r -- _type ∈ st, junkref(str, r, st), same-subclasses-contains(class, str, str0), tdname+∃(str0, class) ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(ty0 .jtelemtype .class, str, str0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tdname+∃ (str, `java.lang.Object' .class)], [CSIMPSEQ : ⊦ mkarraytype(ty) ≤ mkclasstype(class1) ↔ class1 = `java.lang.Object' .class], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))])]]