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Proof step 35 from proof same-subclasses-01 (previous step)

class ≠ `java.lang.Object' .class, same-subclasses-contains(class, str, str0), tdname+∃(str0, class), is_classtype(ty) ∧ ty .class ≤ class, type∃(str0, ty), tdname+∃(str0, class0), is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ mkfs(class1, ty0, fieldvar) ' ∈ instfields(ty .class) ∧ is_classtype(ty0) ∧ class0 ≤ ty0 .class, is_arraytype(ty) → is_classtype(ty .type) ∧ class0 ≤ ty .type .class, ∀ class0, str0, str, class, tys0. # tys0 < # [] → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tdname+∃(str, class0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
same-subclasses-contains(class, str, str0), tdname+∃(str0, class), is_classtype(ty), ty .class ≤ class, type∃(str0, ty), tdname+∃(str0, class0), mkfs(class1, ty0, fieldvar) ' ∈ instfields(ty .class), is_classtype(ty0), class0 ≤ ty0 .class, ∀ class0, str0, str, class, tys0. # tys0 < # [] → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ class = `java.lang.Object' .class, tdname+∃(str, class0), interface∃(str0, ty .class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)])]]