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Proof step 5 from proof contains-array (previous step)

type∃(str, ty1), contains(str, ty0 ' + tys0), type∃(str, ty), is_arraytype(ty1), ty1 .type ≤ ty, ty0 ≤ ty1 .type, ty0 ≤ ty ⊦ contains(str, ty ' + tys0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
ty1 = mkarraytype(ty2), type∃(str, ty1), contains(str, ty0 ' + tys0), type∃(str, ty), is_arraytype(ty1), ty2 ≤ ty, ty0 ≤ ty2, ty0 ≤ ty ⊦ contains(str, ty ' + tys0)

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [ty1, ty2] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (ty1, ty2)]]