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Proof step 55 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 = [], ∃ tys. contains(str, ty ' + (tys + tys0 .last)), tys0 .last ≤ ty ∧ type∃(str, tys0 .last)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
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), ∃ tys. contains(str, ty ' + tys + tys0 .last ')

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tys + ty = tys + ty '])]]