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Proof step 4 from proof contains-array (previous step)

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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
contains(str, ty0 ' + tys0), type∃(str, ty), ty2 ≤ ty, ty0 ≤ ty2, ty0 ≤ ty, type∃(str, ty2) ⊦ contains(str, ty ' + tys0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ type∃(str, mkarraytype(ty)) ↔ type∃(str, ty)])]]