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Proof step 150 from proof contains-subspec-better (previous step)

tys + ty0 ' = ty3 ' + tys1, ty3 .jtelemtype ≤ ty .jtelemtype, contains(str0, ty, ty3), ty0 ∈ tys1, ty3 ∈ tys, type∃(str0, ty3), type∃(str, ty0), type∃(str0, ty), contains(str0, ty3 ' + tys1), type∃(str0, ty1), ty1 ≤ ty, is_reftype(ty), type∃(str, ty), same-subclasses(ty .jtelemtype .class, str, str0), has_classtype(ty), type∃(str0, ty0), contains(str0, ty, ty0), has_classtype(ty3), is_classtype(ty3 .jtelemtype), is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty3 ≤ ty2, is_arraytype(ty1) → ty3 ≤ ty1 .type, ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ contains(str0, ty .jtelemtype, ty3 .jtelemtype), ty ∈ tys, dups(tys), contains(str, ty, ty0), tdname+∃(str, ty3 .jtelemtype .class), tdname∃(str, ty3 .jtelemtype .class), ty3 .jtelemtype .class ≤ ty .jtelemtype .class ∧ tdname∃(str0, ty3 .jtelemtype .class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 149:
ty3 .jtelemtype = mkclasstype(class0), tys + ty0 ' = ty3 ' + tys1, ty3 .jtelemtype ≤ ty .jtelemtype, contains(str0, ty, ty3), ty0 ∈ tys1, ty3 ∈ tys, type∃(str0, ty3), type∃(str, ty0), type∃(str0, ty), contains(str0, ty3 ' + tys1), type∃(str0, ty1), ty1 ≤ ty, is_reftype(ty), type∃(str, ty), same-subclasses(ty .jtelemtype .class, str, str0), has_classtype(ty), type∃(str0, ty0), contains(str0, ty, ty0), has_classtype(ty3), is_classtype(ty3 .jtelemtype), is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty3 ≤ ty2, is_arraytype(ty1) → ty3 ≤ ty1 .type, ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ contains(str0, ty .jtelemtype, ty3 .jtelemtype), ty ∈ tys, dups(tys), contains(str, ty, ty0), tdname+∃(str, class0), tdname∃(str, class0), class0 ≤ ty .jtelemtype .class ∧ tdname∃(str0, class0)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty3 .jtelemtype, class0] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty3 .jtelemtype, class0)]]