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Proof step 33 from proof same-subclasses-01 (previous step)

ty = mkclasstype(class2), same-subclasses-contains(class, str, str0), tdname+∃(str0, class), is_classtype(ty), class2 ≤ class, type∃(str0, ty), tdname+∃(str0, class0), mkfs(class1, ty0, fieldvar) ' ∈ instfields(class2), 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, class2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
tdname+∃(str0, class0), mkfs(class1, ty0, fieldvar) ' ∈ instfields(class2), is_classtype(ty0), class0 ≤ ty0 .class, same-subclasses-contains(class, str, str0), tdname+∃(str0, class), class2 ≤ class, tdname+∃(str0, class2), ∀ 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, class2)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))])]]