| ¬ (validreflist(str, mkjavavalues(refs), ty, st) ∧ ty ≤ mkclasstype(`java.lang.Object' .class)), st[refs[i→n(i)] -- sks1] = refval(r0), st[refs[i→n(i0)] -- sks] = refval(r0), refs[i→n(i)] -- sks1 ∈ st, i < n→i(# refs), i0 < n→i(# refs), i→n(i0) < # refs, 0 ≤ i, newref(r, st), validreflist(str, mkjavavalues(refs), ty, st), disjoint(str, refs, st), fits(refs[i→n(i)], sks1, st), fits(refs[i→n(i0)], sks, st), 0 ≤ i0, i→n(i) < # refs, is_referencevalue(addarray(r, ty, mkjavavalues(refs), st)[r -- (i0 ' ' + sks)]), is_referencevalue(addarray(r, ty, mkjavavalues(refs), st)[r -- (i ' ' + sks1)]), st ⊆ addarray(r, ty, mkjavavalues(refs), st), refs[i→n(i0)] -- sks ∈ st ⊦ i0 = i, r0 = jvmref, refs = [], r = jvmref, i0 ' ' + sks = i ' ' + sks1, validreflist(str, mkjavavalues(refs), mkclasstype(`java.lang.Object' .class), st), junkref(str, refs[i→n(i0)], st), hasSharing(refs, st), dups(refs), junkref(str, refs[i→n(i)], st) |
st[refs[i→n(i)] -- sks1] = refval(r0), st[refs[i→n(i0)] -- sks] = refval(r0), refs[i→n(i)] -- sks1 ∈ st, i < n→i(# refs), i0 < n→i(# refs), i→n(i0) < # refs, 0 ≤ i, newref(r, st), validreflist(str, mkjavavalues(refs), ty, st), disjoint(str, refs, st), fits(refs[i→n(i)], sks1, st), fits(refs[i→n(i0)], sks, st), 0 ≤ i0, i→n(i) < # refs, is_referencevalue(addarray(r, ty, mkjavavalues(refs), st)[r -- (i0 ' ' + sks)]), is_referencevalue(addarray(r, ty, mkjavavalues(refs), st)[r -- (i ' ' + sks1)]), st ⊆ addarray(r, ty, mkjavavalues(refs), st), refs[i→n(i0)] -- sks ∈ st ⊦ i0 = i, r0 = jvmref, refs = [], r = jvmref, i0 ' ' + sks = i ' ' + sks1, validreflist(str, mkjavavalues(refs), mkclasstype(`java.lang.Object' .class), st), junkref(str, refs[i→n(i0)], st), hasSharing(refs, st), dups(refs), junkref(str, refs[i→n(i)], st), is_classtype(ty), is_arraytype(ty)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ mkclasstype (`java.lang.Object' .class) ↔ is_classtype(ty) ∨ is_arraytype(ty)])]]