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Proof step 21 from proof contains-subspec (previous step)

contains(str0, (ty3 ' + tys1) + ty0 '), tdname+∃(str, class0), mkfs(class, ty2, fieldvar) ' ∈ instfields(class0), ty3 ≤ ty2, contains(str, ty3, ty0), class+∃(str0, class0), class0 ≤ class1, tdname+∃(str0, class1), same-subclasses-contains(class1, str, str0), level⊆(str0, str), tdname+∃(str, class1), ∀ ty0, str0, str, ty, tys0. # tys0 < # (ty3 + tys1) → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ level⊆(str0, str) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ mkclasstype(class1) = ty3, dups(tys1), ty3 ∈ tys1, mkclasstype(class1) ∈ tys1, interface∃(str0, class0), ∃ ty1. ty1 ≤ mkclasstype(class1) ∧ type∃(str, ty1) ∧ type∃(str, ty0) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty0 ≤ ty1 .type), ∃ fs. fs ' ∈ instfields(class0) ∧ ty3 ≤ fs .type

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 7, [QUANTTERMLIST : (mkfs(class, ty2, fieldvar))]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (mkfs(class, ty2, fieldvar))]]