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Proof step 33 from proof contains-field-def-case (previous step)

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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
type∃(str, ty), ty2 ≤ ty3, mkfs(class, ty3, fieldvar) ' ∈ instfields(class0), is_reftype(tys .last), contains(str, ty2 ' + tys), tdname+∃(str, class0), class0 ≤ class1, tdname+∃(str, class1), is_classtype(ty), class1 ≤ ty .class, class0 ≤ ty .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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ class1 ≤ class2 ∧ class2 ≤ class3 → class1 ≤ class3], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ is_classtype(ty) → is_reftype(ty)], [CSIMPSEQ : ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]