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Proof step 29 from proof same-subclasses-array-forward (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
st[r -- i '] = refval(r0), is_array(str, r, st), same-subclasses(st[r -- _type] .type .jtelemtype .class, str, str0), i < st[r -- _length] .intval, has_classtype(st[r0 -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, has_classtype(st[r -- _type] .type), is_valid_ref(str0, r, st), ∀ class0. contains(str0, st[r -- _type] .type .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, st[r -- _type] .type .jtelemtype = mkclasstype(`java.lang.Object' .class), r = jvmref, junkref(str0, r, st), contains(str0, st[r -- _type] .type .jtelemtype, st[r0 -- _type] .type .jtelemtype), st[r0 -- _type] .type .jtelemtype ≤ st[r -- _type] .type .jtelemtype, contains(str0, st[r -- _type] .type, st[r0 -- _type] .type), same-subclasses(st[r0 -- _type] .type .jtelemtype .class, str, str0) ∧ (contains(str0, st[r0 -- _type] .type .jtelemtype, mkclasstype(class)) → same-subclasses(class, str, str0))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_array(str, jvmref, st)])]]