inductive ty3 (g: G): C \to (T \to (T \to Prop)) \def
| ty3_conv: \forall (c: C).(\forall (t2: T).(\forall (t: T).((ty3 g c t2 t)
inductive ty3 (g: G): C \to (T \to (T \to Prop)) \def
| ty3_conv: \forall (c: C).(\forall (t2: T).(\forall (t: T).((ty3 g c t2 t)