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Proof step 29 from proof validref-subspec-samesubclasses (previous step)

¬ ( contains(str0, ty0 .jtelemtype, mkclasstype(class)) ∧ ty0 .jtelemtype ≤ mkclasstype(`java.lang.Object' .class) ∧ type∃(str0, mkclasstype(`java.lang.Object' .class))), st[r -- _type] = typeval(mkarraytype(ty0)), 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))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
st[r -- _type] = typeval(mkarraytype(ty0)), 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)), ty0 .jtelemtype ≤ mkclasstype(`java.lang.Object' .class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tdname+∃ (str, `java.lang.Object' .class)], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]