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Proof step 97 from proof same-subclasses-01 (previous step)

ty0 .jtelemtype = mkclasstype(class3), contains(str0, (ty0 ' + tys1) + mkclasstype(class0) '), mkfs(class1, ty1, fieldvar) ' ∈ instfields(class2), ty0 ≤ ty1, same-subclasses(class, str, str0), tdname+∃(str0, class), class2 ≤ class, tdname+∃(str0, class2), class0 ≤ class3, ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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, is_classtype(ty0), tdname+∃(str, class0), interface∃(str0, class2), ∃ ty. ty ≤ mkclasstype(class) ∧ type∃(str0, ty) ∧ tdname+∃(str0, class0) ∧ (is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ (∃ fs. fs ' ∈ instfields(ty .class) ∧ mkclasstype(class0) ≤ fs .type)) ∧ (is_arraytype(ty) → mkclasstype(class0) ≤ ty .type), ∃ ty1, ty2. ty1 ≤ mkclasstype(class) ∧ type∃(str0, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type) ∧ contains(str0, ty2, mkclasstype(class0))

User applied rule exists right

And obtained the following new goals

Proof step 96:
ty0 .jtelemtype = mkclasstype(class3), contains(str0, (ty0 ' + tys1) + mkclasstype(class0) '), mkfs(class1, ty1, fieldvar) ' ∈ instfields(class2), ty0 ≤ ty1, same-subclasses(class, str, str0), tdname+∃(str0, class), class2 ≤ class, tdname+∃(str0, class2), class0 ≤ class3, ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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, is_classtype(ty0), tdname+∃(str, class0), interface∃(str0, class2), ∃ ty. ty ≤ mkclasstype(class) ∧ type∃(str0, ty) ∧ tdname+∃(str0, class0) ∧ (is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ (∃ fs. fs ' ∈ instfields(ty .class) ∧ mkclasstype(class0) ≤ fs .type)) ∧ (is_arraytype(ty) → mkclasstype(class0) ≤ ty .type), mkclasstype(class2) ≤ mkclasstype(class) ∧ type∃(str0, mkclasstype(class2)) ∧ ( is_classtype(mkclasstype(class2)) → ¬ interface∃(str0, mkclasstype(class2) .class) ∧ (∃ fs. fs ' ∈ instfields(mkclasstype(class2) .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(mkclasstype(class2)) → ty0 ≤ mkclasstype(class2) .type) ∧ contains(str0, ty0, mkclasstype(class0))

Rule argument

[EXRARG : pos: right 6, [extquanttermlist: (mkclasstype(class2), ty0) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkclasstype(class2), ty0)]]