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Proof step 34 from proof contains-field-def-case (previous step)

type∃(str, ty0), ty0 ≤ ty, type∃(str, ty), is_reftype(ty), ty2 ≤ ty3, mkfs(class, ty3, fieldvar) ' ∈ instfields(class0), is_reftype(tys .last), contains(str, ty2 ' + tys), tdname+∃(str, class0), is_classtype(ty0), class0 ≤ ty0 .class, is_arraytype(tys .last) → fs ' = _length, is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class) ⊦ tys = [], interface∃(str, class0), ∃ fs. fs ' ∈ instfields(class0) ∧ ty2 ≤ fs .type, tys .last ≤ ty ∧ type∃(str, tys .last)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 33:
ty0 = mkclasstype(class1), type∃(str, ty0), ty0 ≤ ty, type∃(str, ty), is_reftype(ty), ty2 ≤ ty3, mkfs(class, ty3, fieldvar) ' ∈ instfields(class0), is_reftype(tys .last), contains(str, ty2 ' + tys), tdname+∃(str, class0), is_classtype(ty0), class0 ≤ class1, is_arraytype(tys .last) → fs ' = _length, is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class) ⊦ tys = [], interface∃(str, class0), ∃ fs. fs ' ∈ instfields(class0) ∧ ty2 ≤ fs .type, tys .last ≤ ty ∧ type∃(str, tys .last)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty0, class1] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty0, class1)]]