fact: Definition up_ren_subst_poly_type_poly_type (xi : ( nat ) -> nat ) (tau : ( nat ) -> poly_type ) (theta : ( nat ) -> poly_type ) (Eq : forall x, (funcomp tau xi) x = theta x) : forall x, (funcomp (up_poly_type_poly_type tau) (upRen_poly_type_poly_type xi)) x = (up_poly_type_poly_type theta) x := fun n => match n with | S n => ap (ren_poly_type shift) (Eq n) | 0 => eq_refl end.
imports: Undecidability.SystemF.Autosubst.unscoped Undecidability.SystemF.SysF Morphisms