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Proof step 87 from proof same-subclasses-01 (previous step)

ty0 .jtelemtype = mkclasstype(class3), contains(str0, mkclasstype(class), mkclasstype(class0)), 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, 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 insert rewrite lemma

And obtained the following new goals

Proof step 86:
⊦ ¬ type∃(str, ty0) → ¬ contains(str, ty, ty0)

Rule argument

[crewrite-arg: contains-typeex-03 , F , [ty0, ty, str] → [mkclasstype(class0), mkclasstype(class), str0] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)], [CSIMPSEQ : ⊦ ¬ tdname+∃(str, class0) ∧ tdname+∃(str0, class0) → ¬ same-subclasses (class0, str, str0)])], [EXTRATERMS : (mkclasstype(class0), mkclasstype(class), str0)]]