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Proof step 7 from proof contains-length (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ contains(str, ty ') ↔ type∃(str, ty)
Proof step 6:
fs ' = _length, type∃(str, ty), is_arraytype(ty) ⊦ is_reftype(ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)], [CSIMPSEQ : ⊦ ty ' .last = ty], [CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ ty ' .first = ty], [CSIMPSEQ : ⊦ ty ' ≠ []])]]