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Proof step 76 from proof same-subclasses-array-forward (previous step)

st[r0 -- _type] .type = mkarraytype(ty0), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), st[r -- i '] = refval(r0), st[r -- _type] .type = mkarraytype(ty), is_array(str0, r, st), has_classtype(ty0), 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) ⊦ r = jvmref, r0 = jvmref, type∃(str0, ty0 .jtelemtype), ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ (¬ st[st[r -- i '] .refval -- _type] .type ≤ ty ∨ junkref(str0, st[r -- i '] .refval, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]