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Proof step 11 from proof contains-length (previous step)

fs ' = _length, is_arraytype(ty) ⊦ contains(str, ty, fs) ↔ type∃(str, ty)

User applied rule case distinction

And obtained the following new goals

Proof step 2:
contains(str, ty, fs), fs ' = _length, is_arraytype(ty) ⊦ type∃(str, ty)
Proof step 10:
type∃(str, ty), fs ' = _length, is_arraytype(ty) ⊦ contains(str, ty, fs)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]