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Proof step 3 from proof contains-trans-01 (previous step)

tys + ty0 ' = ty3 ' + tys2, class0 ≤ class1, tdname+∃(str, class0), contains(str, ty3 ' + tys2), mkfs(class, ty4, fieldvar) ' ∈ instfields(class0), ty3 ≤ ty4, contains(str, ty0 ' + tys0 + ty1 '), tdname+∃(str, class1), ∀ ty, ty1, tys0, ty0, str, tys1. # tys1 < # tys → (contains(str, ty0 ' + tys0 + ty1 ') ∧ contains(str, ty ' + tys1 + ty0 ') → contains(str, ty ' + tys1 + ty0 ' + tys0 + ty1 ')) ⊦ interface∃(str, class0), ty0 ≠ ty3 ∧ ¬ ty0 ∈ tys2, ¬ ty3 ∈ tys ∧ ty3 ≠ ty0, ∃ fs. fs ' ∈ instfields(class0) ∧ ty3 ≤ fs .type

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 4, [QUANTTERMLIST : (mkfs(class, ty4, fieldvar))]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (mkfs(class, ty4, fieldvar))]]