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Proof step 13 from proof contains-field-def-case (previous step)

type∃(str, ty), ty2 ≤ ty3, mkfs(class, ty3, fieldvar) ' ∈ instfields(class0), is_reftype(ty2), type∃(str, ty2), tdname+∃(str, class0), class0 ≤ class1, tdname+∃(str, class1), is_classtype(ty), class1 ≤ ty .class, class0 ≤ ty .class, is_arraytype(ty2) → fs ' = _length, is_classtype(ty2) → ¬ interface∃(str, ty2 .class) ∧ fs ' ∈ instfields(ty2 .class) ⊦ interface∃(str, class0), ty2 ≤ ty, ∃ fs. fs ' ∈ instfields(class0) ∧ ty2 ≤ fs .type

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
ty = mkclasstype(class2), type∃(str, ty), ty2 ≤ ty3, mkfs(class, ty3, fieldvar) ' ∈ instfields(class0), is_reftype(ty2), type∃(str, ty2), tdname+∃(str, class0), class0 ≤ class1, tdname+∃(str, class1), is_classtype(ty), class1 ≤ class2, class0 ≤ class2, is_arraytype(ty2) → fs ' = _length, is_classtype(ty2) → ¬ interface∃(str, ty2 .class) ∧ fs ' ∈ instfields(ty2 .class) ⊦ interface∃(str, class0), ty2 ≤ ty, ∃ fs. fs ' ∈ instfields(class0) ∧ ty2 ≤ fs .type

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty, class2] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class2)]]