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Proof step 39 from proof contains-field-def-case (previous step)

is_reftype(ty), ty1 ≤ ty, type∃(str, ty), ty0 ≤ ty, type∃(str, ty0), is_reftype(ty0), ty1 ≤ ty0, type∃(str, ty1), contains(str, ty2 ' + tys), is_reftype(tys .last), is_arraytype(ty1) → ty2 ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ mkfs(class, ty3, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty2 ≤ ty3, is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class), is_arraytype(tys .last) → fs ' = _length ⊦ tys = [], tys .last ≤ ty ∧ type∃(str, tys .last), ty1 ≤ ty ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
is_reftype(ty), ty1 ≤ ty, type∃(str, ty), ty0 ≤ ty, type∃(str, ty0), is_reftype(ty0), ty1 ≤ ty0, type∃(str, ty1), contains(str, ty2 ' + tys), is_reftype(tys .last), is_classtype(ty1), mkfs(class, ty3, fieldvar) ' ∈ instfields(ty1 .class), ty2 ≤ ty3, is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class), is_arraytype(tys .last) → fs ' = _length ⊦ tys = [], interface∃(str, ty1 .class), tys .last ≤ ty ∧ type∃(str, tys .last), ∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)])]]