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Proof step 49 from proof same-subclasses-01 (previous step)

¬ class ≠ `java.lang.Object' .class, same-subclasses-contains(class, str, str0), tdname+∃(str0, class), ty ≤ mkclasstype(class), type∃(str0, ty), contains(str0, (ty0 ' + tys1) + mkclasstype(class0) '), is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ mkfs(class1, ty1, fieldvar) ' ∈ instfields(ty .class) ∧ ty0 ≤ ty1, is_arraytype(ty) → ty0 ≤ ty .type, ∀ class0, str0, str, class, tys0. # tys0 < # (ty0 + tys1) → (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 48:
same-subclasses-contains(`java.lang.Object' .class, str, str0), ty ≤ mkclasstype(`java.lang.Object' .class), type∃(str0, ty), contains(str0, (ty0 ' + tys1) + mkclasstype(class0) '), is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ mkfs(class1, ty1, fieldvar) ' ∈ instfields(ty .class) ∧ ty0 ≤ ty1, is_arraytype(ty) → ty0 ≤ ty .type, ∀ class0, str0, str, class, tys0. # tys0 < # (ty0 + tys1) → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ tdname+∃(str, class0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tdname+∃ (str, `java.lang.Object' .class)])]]