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Proof step 2 from proof contains-rec-01 (previous step)

⊦ contains(str, ty ' + ty0 ' + tys0) ↔ type∃(str, ty) ∧ is_reftype(ty) ∧ (∃ ty1. ty1 ≤ ty ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty0 ≤ ty1 .type) ∧ contains(str, ty0 ' + tys0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ contains(str, ty ' + ty0 ' + tys) ↔ type∃(str, ty) ∧ is_reftype(ty) ∧ (∃ ty1. ty1 ≤ ty ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty0 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty0 ≤ ty1 .type) ∧ contains(str, ty0 ' + tys))

Rule argument

[crewrite-arg: contains-rec , F , [tys, ty0, ty, str] → [tys0, ty0, ty, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (tys0, ty0, ty, str)]]