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Proof step 97 from proof same-subclasses-array-forward (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 96:
st[r0 -- _type] .type = mkclasstype(class1), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), st[r -- i '] = refval(r0), st[r -- _type] .type = mkarraytype(ty), 0 ≤ i, 0 < st[r -- _length] .intval, has_classtype(ty), is_array(str, r, st), same-subclasses(`java.lang.Object' .class, str, str0), i < st[r -- _length] .intval, is_array(str0, r, st), ∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, r = jvmref, tdname+∃(str0, class1), class1 ≤ `java.lang.Object' .class, junkref(str0, r, st), contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class1)), same-subclasses(class1, str, str0) ∧ (contains(str0, mkclasstype(class1), mkclasstype(class)) → same-subclasses(class, str, str0))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_array(str, jvmref, st)], [CSIMPSEQ : ⊦ st[r -- _type] .type = mkarraytype(ty) ∧ r ≠ jvmref → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))])]]