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Proof step 48 from proof contains-levelsubset (previous step)

tdname+∃(str0, class0), mkfs(class, ty2, fieldvar) ' ∈ instfields(class0), ty3 ≤ ty2, tdname+∃(str, class1), class0 ≤ class1, tdname+∃(str, class0), contains(str, ty3 ' + tys2 + ty4 '), level⊆(str, str0), contains(str0, ty3, ty4), tdname+∃(str0, class1), ∀ ty0, ty, str0, str, tys0. # tys0 < # (ty3 ' + tys2) → (level⊆(str, str0) ∧ contains(str, ty ' + tys0 + ty0 ') → contains(str0, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ ∃ fs. fs ' ∈ instfields(class0) ∧ ty3 ≤ fs .type, mkclasstype(class1) = ty3, mkclasstype(class1) ∈ tys2, dups(tys2), ty3 ∈ tys2, interface∃(str, class0), ∃ ty1. ty1 ≤ mkclasstype(class1) ∧ type∃(str0, ty1) ∧ type∃(str0, ty4) ∧ (is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty4 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty4 ≤ ty1 .type)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 1, [QUANTTERMLIST : (mkfs(class, ty2, fieldvar))]]

Additional information

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