| ¬ (validrefs(str, r ' + refs1 + r0 ', ty, st) ∧ ty ≤ mkclasstype(`java.lang.Object' .class)), validrefs(str, r ' + refs1 + r0 ' + refs0, ty, st), validrefs(str, r ' + refs1 + r0 ', ty, st) ⊦ validrefs(str, r ' + refs1 + r0 ', mkclasstype(`java.lang.Object' .class), st) |
validrefs(str, r ' + refs1 + r0 ' + refs0, ty, st), validrefs(str, r ' + refs1 + r0 ', ty, st) ⊦ validrefs(str, r ' + refs1 + r0 ', mkclasstype(`java.lang.Object' .class), st), is_classtype(ty), is_arraytype(ty)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ mkclasstype (`java.lang.Object' .class) ↔ is_classtype(ty) ∨ is_arraytype(ty)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]