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Proof step 110 from proof same-subclasses-array-forward (previous step)

same-subclasses(`java.lang.Object' .class, str, str0) ∧ class1 ≤ `java.lang.Object' .class, st[r -- _type] .type = mkarraytype(ty), st[r -- i '] = refval(r0), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), st[r0 -- _type] .type = mkclasstype(class1), i < st[r -- _length] .intval, same-subclasses(`java.lang.Object' .class, str, str0), is_array(str, r, st), has_classtype(ty), 0 < st[r -- _length] .intval, 0 ≤ i, ∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class1)), junkref(str0, r, st), true ∧ (contains(str0, mkclasstype(class1), mkclasstype(class)) → same-subclasses(class, str, str0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 109:
st[r -- _type] .type = mkarraytype(ty), st[r -- i '] = refval(r0), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), st[r0 -- _type] .type = mkclasstype(class1), class1 ≤ `java.lang.Object' .class, i < st[r -- _length] .intval, same-subclasses(`java.lang.Object' .class, str, str0), is_array(str, r, st), has_classtype(ty), 0 < st[r -- _length] .intval, 0 ≤ i, contains(str0, mkclasstype(class1), mkclasstype(class)), ∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class1)), junkref(str0, r, st), same-subclasses(class, str, str0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]