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Proof step 22 from proof contains-subspec (previous step)

ty = mkclasstype(class1), mkfs(class, ty2, fieldvar) ' ∈ instfields(class0), ty3 ≤ ty2, contains(str, ty3, ty0), class+∃(str0, class0), is_classtype(ty), class0 ≤ class1, type∃(str0, ty), has_classtype(ty), same-subclasses-contains(class1, str, str0), level⊆(str0, str), type∃(str, ty), contains(str0, (ty3 ' + tys1) + ty0 '), tdname+∃(str, class0), ∀ ty0, str0, str, ty, tys0. # tys0 < # (ty3 + tys1) → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ level⊆(str0, str) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ ty = ty3, dups(tys1), ty3 ∈ tys1, ty ∈ tys1, interface∃(str0, class0), ∃ ty1. ty1 ≤ ty ∧ type∃(str, ty1) ∧ type∃(str, ty0) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty0 ≤ ty1 .type), ∃ fs. fs ' ∈ instfields(class0) ∧ ty3 ≤ fs .type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
contains(str0, (ty3 ' + tys1) + ty0 '), tdname+∃(str, class0), mkfs(class, ty2, fieldvar) ' ∈ instfields(class0), ty3 ≤ ty2, contains(str, ty3, ty0), class+∃(str0, class0), class0 ≤ class1, tdname+∃(str0, class1), same-subclasses-contains(class1, str, str0), level⊆(str0, str), tdname+∃(str, class1), ∀ ty0, str0, str, ty, tys0. # tys0 < # (ty3 + tys1) → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ level⊆(str0, str) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ mkclasstype(class1) = ty3, dups(tys1), ty3 ∈ tys1, mkclasstype(class1) ∈ tys1, interface∃(str0, class0), ∃ ty1. ty1 ≤ mkclasstype(class1) ∧ type∃(str, ty1) ∧ type∃(str, ty0) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty0 ≤ ty1 .type), ∃ fs. fs ' ∈ instfields(class0) ∧ ty3 ≤ fs .type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ has_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))])]]