| ty0 .jtelemtype = mkclasstype(class3), is_classtype(ty0 .jtelemtype), contains(str0, (ty0 ' + tys1) + mkclasstype(class0) '), mkfs(class1, ty1, fieldvar) ' ∈ instfields(class2), ty0 ≤ ty1, same-subclasses-contains(class, str, str0), tdname+∃(str0, class), class2 ≤ class, tdname+∃(str0, class2), # tys ≤ # tys1, contains(str0, ty0 .jtelemtype ' + tys + mkclasstype(class0) '), ∀ class0, str0, str, class, tys0. # tys0 < # (ty0 + tys1) → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ same-subclasses-contains(class3, str, str0) ∧ contains(str0, mkclasstype(class3) ' + tys + mkclasstype(class0) '), class = `java.lang.Object' .class, is_classtype(ty0), tdname+∃(str, class0), interface∃(str0, class2) |
ty0 .jtelemtype = mkclasstype(class3), contains(str0, mkclasstype(class3) ' + tys + mkclasstype(class0) '), # tys ≤ # tys1, tdname+∃(str0, class2), class2 ≤ class, tdname+∃(str0, class), same-subclasses-contains(class, str, str0), ty0 ≤ ty1, mkfs(class1, ty1, fieldvar) ' ∈ instfields(class2), contains(str0, (ty0 ' + tys1) + mkclasstype(class0) '), ∀ class0, str0, str, class, tys0. # tys0 < # (ty0 + tys1) → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ class = `java.lang.Object' .class, interface∃(str0, class2), tdname+∃(str, class0), is_classtype(ty0), same-subclasses-contains(class3, str, str0)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ (tys + tys0) + tys1 = tys + tys0 + tys1])]]