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Proof step 74 from proof same-subclasses-array-forward (previous step)

¬ (r0 ≠ jvmref ∧ ¬ is_valid_ref(str0, r0, st)), st[r -- _type] .type = mkarraytype(ty), st[r -- i '] = refval(r0), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), st[r0 -- _type] .type = mkarraytype(ty0), 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, has_classtype(ty0), is_array(str0, r, st), mkarraytype(ty0) ≤ ty, ∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, r = jvmref, type∃(str0, ty0 .jtelemtype), junkref(str0, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 73:
st[r -- _type] .type = mkarraytype(ty), st[r -- i '] = refval(r0), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), st[r0 -- _type] .type = mkarraytype(ty0), 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, has_classtype(ty0), is_array(str0, r, st), mkarraytype(ty0) ≤ ty, is_array(str0, r0, st), ∀ class0. contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, r = jvmref, type∃(str0, ty0 .jtelemtype), junkref(str0, r0, st)

Rule argument

[emptyarg]

Additional information

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