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Proof step 128 from proof same-subclasses-array-forward (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 127:
st[r -- i '] = refval(r0), 0 < st[r -- _length] .intval, 0 ≤ i, has_classtype(st[r0 -- _type] .type), i < st[r -- _length] .intval, same-subclasses(st[r -- _type] .type .jtelemtype .class, str, str0), is_array(str, r, st), contains(str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), mkclasstype(st[r0 -- _type] .type .jtelemtype .class)) → same-subclasses(st[r0 -- _type] .type .jtelemtype .class, str, str0), ∀ class0. contains(str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, junkref(str0, r, st), 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

[EXRARG : pos: left 8, [extquanttermlist: (st[r0 -- _type] .type .jtelemtype .class) abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- _type] .type .jtelemtype .class)]]