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Proof step 12 from proof contains-subspec-better (previous step)

interface∃(str, class0), contains(str0, mkclasstype(class1), ty0), type∃(str0, ty0), type∃(str, ty0), tdname+∃(str0, class1), mkfs(class, ty2, fieldvar) ' ∈ instfields(class0), ty0 ≤ ty2, class+∃(str0, class0), class0 ≤ class1, tdname+∃(str, class1), ∀ class0. contains(str0, mkclasstype(class1), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ class0. interface∃(str0, class0) ∧ class0 ≤ class1 → interface∃(str, class0), ∀ class0. class∃(str0, class0) ∧ class0 ≤ class1 → class∃(str, class0), ∀ ty0, str0, str, ty, tys0. # tys0 < # [] → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ interface∃(str0, class0), ∃ ty1, ty2. ty1 ≤ mkclasstype(class1) ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type) ∧ contains(str, ty2, ty0)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 13, [extquanttermlist: (class0)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ interface∃(str, class) → ¬ class∃(str, class)], [CSIMPSEQ : ⊦ ¬ class∃(str, class) → ( class+∃(str, class) ↔ is_predefined_class(class))], [CSIMPSEQ : ⊦ interface∃(str, class) → ¬ is_predefined_class(class)])], [EXTRATERMS : (class0)]]