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Proof step 63 from proof contains-field-def-case (previous step)

type∃(str, ty) ∧ (∃ tys. tys ≠ [] ∧ tys .first ≤ ty ∧ contains(str, tys) ∧ is_reftype(tys .last) ∧ (is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class)) ∧ (is_arraytype(tys .last) → fs ' = _length)) ⊦ type∃(str, ty) ∧ (∃ ty1. (ty1 ≤ ty ∧ type∃(str, ty1) ∨ contains(str, ty, ty1)) ∧ is_reftype(ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ fs ' ∈ instfields(ty1 .class)) ∧ (is_arraytype(ty1) → fs ' = _length))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
type∃(str, ty), tys .first ≤ ty, contains(str, tys), is_reftype(tys .last), is_classtype(tys .last) → ¬ interface∃(str, tys .last .class) ∧ fs ' ∈ instfields(tys .last .class), is_arraytype(tys .last) → fs ' = _length ⊦ tys = [], ∃ ty1. (ty1 ≤ ty ∧ type∃(str, ty1) ∨ contains(str, ty, ty1)) ∧ is_reftype(ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ fs ' ∈ instfields(ty1 .class)) ∧ (is_arraytype(ty1) → fs ' = _length)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]