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Proof step 101 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, contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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)

User applied rule cut formula

And obtained the following new goals

Proof step 88:
contains(str0, mkclasstype(class), mkclasstype(class0)), 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, contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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)
Proof step 100:
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, contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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)) ⊦ contains(str0, mkclasstype(class), mkclasstype(class0)), class = `java.lang.Object' .class, is_classtype(ty0), tdname+∃(str, class0), interface∃(str0, class2)

Rule argument

[fma-arg: contains(str0, mkclasstype(class), mkclasstype(class0))]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (contains(str0, mkclasstype(class), mkclasstype(class0)))]]