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Proof step 57 from proof contains-field-def-case (previous step)

type∃(str, ty), ty0 ≤ ty, contains(str, ty0 ' + tys0), is_reftype(tys0 .last), is_classtype(tys0 .last) → ¬ interface∃(str, tys0 .last .class) ∧ fs ' ∈ instfields(tys0 .last .class), is_arraytype(tys0 .last) → fs ' = _length ⊦ tys0 = [], (tys0 .last ≤ ty ∧ type∃(str, tys0 .last) ∨ contains(str, ty, tys0 .last)) ∧ is_reftype(tys0 .last) ∧ (is_classtype(tys0 .last) → ¬ interface∃(str, tys0 .last .class) ∧ fs ' ∈ instfields(tys0 .last .class)) ∧ (is_arraytype(tys0 .last) → fs ' = _length)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
type∃(str, ty), ty0 ≤ ty, contains(str, ty0 ' + tys0), is_reftype(tys0 .last), is_classtype(tys0 .last) → ¬ interface∃(str, tys0 .last .class) ∧ fs ' ∈ instfields(tys0 .last .class), is_arraytype(tys0 .last) → fs ' = _length ⊦ tys0 = [], contains(str, ty, tys0 .last), tys0 .last ≤ ty ∧ type∃(str, tys0 .last)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]