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Proof step 3 from proof contains-array (previous step)

contains(str, ty0 ' + tys0), type∃(str, ty), ty2 ≤ ty, ty0 ≤ ty2, ty0 ≤ ty, type∃(str, ty2) ⊦ contains(str, ty ' + tys0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ contains(str, ty ' + tys) ∧ ty ≤ ty0 ∧ type∃(str, ty0) → contains(str, ty0 ' + tys)

Rule argument

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

Additional information

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