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Proof step 64 from proof same-subclasses-forward (previous step)

has_classtype(ty3), type∃(str0, ty), class+∃(str0, class1), type∃(str0, ty3), is_classtype(ty), class1 ≤ ty .class, mkfs(class, ty2, fieldvar) ' ∈ instfields(class1), ty3 ≤ ty2, same-subclasses(ty .class, str, str0), ∀ class2. contains(str0, mkclasstype(ty .class), mkclasstype(class2)) → same-subclasses(class2, str, str0) ⊦ interface∃(str0, class1), ∃ ty1, ty2. ty1 ≤ ty ∧ 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, ty3), same-subclasses(ty3 .jtelemtype .class, str, str0) ∧ (contains(str0, ty3 .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0)), ∃ fs. fs ' ∈ instfields(class1) ∧ ty3 ≤ fs .type

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 63:
ty = mkclasstype(class3), has_classtype(ty3), type∃(str0, ty), class+∃(str0, class1), type∃(str0, ty3), is_classtype(ty), class1 ≤ class3, mkfs(class, ty2, fieldvar) ' ∈ instfields(class1), ty3 ≤ ty2, same-subclasses(class3, str, str0), ∀ class2. contains(str0, mkclasstype(class3), mkclasstype(class2)) → same-subclasses(class2, str, str0) ⊦ interface∃(str0, class1), ∃ ty1, ty2. ty1 ≤ ty ∧ 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, ty3), same-subclasses(ty3 .jtelemtype .class, str, str0) ∧ (contains(str0, ty3 .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0)), ∃ fs. fs ' ∈ instfields(class1) ∧ ty3 ≤ fs .type

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty, class3] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class3)]]