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Proof step 65 from proof same-subclasses-01 (previous step)

class3 ≤ class4, mkfs(class1, mkclasstype(class4), fieldvar) ' ∈ instfields(class2), contains(str0, (mkclasstype(class3) ' + tys1) + mkclasstype(class0) '), tdname+∃(str0, class2), class2 ≤ class, tdname+∃(str0, class), same-subclasses(class, str, str0), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # (mkclasstype(class3) + tys1) → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ ∃ fs. fs ' ∈ instfields(class2) ∧ mkclasstype(class3) ≤ fs .type, class = `java.lang.Object' .class, interface∃(str0, class2), tdname+∃(str, class0), same-subclasses(class3, str, str0) ∧ (contains(str0, mkclasstype(class3), mkclasstype(class5)) → same-subclasses(class5, str, str0)), ∃ ty. ty ≤ mkclasstype(class) ∧ type∃(str0, ty) ∧ tdname+∃(str0, class3) ∧ (is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ (∃ fs. fs ' ∈ instfields(ty .class) ∧ mkclasstype(class3) ≤ fs .type)) ∧ (is_arraytype(ty) → mkclasstype(class3) ≤ 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(class3))

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 1, [QUANTTERMLIST : (mkfs (class1, mkclasstype(class4), fieldvar))]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2])], [EXTRATERMS : (mkfs(class1, mkclasstype(class4), fieldvar))]]