fact: Definition up_subst_ren_term_poly_type (sigma : ( nat ) -> poly_type ) (zetapoly_type : ( nat ) -> nat ) (theta : ( nat ) -> poly_type ) (Eq : forall x, (funcomp (ren_poly_type zetapoly_type) sigma) x = theta x) : forall x, (funcomp (ren_poly_type (upRen_term_poly_type zetapoly_type)) (up_term_poly_type sigma)) x = (up_term_poly_type theta) x := fun n => eq_trans (compRenRen_poly_type id (upRen_term_poly_type zetapoly_type) (funcomp id zetapoly_type) (fun x => eq_refl) (sigma n)) (eq_trans (eq_sym (compRenRen_poly_type zetapoly_type id (funcomp id zetapoly_type) (fun x => eq_refl) (sigma n))) (ap (ren_poly_type id) (Eq n))).
imports: Undecidability.SystemF.Autosubst.unscoped Undecidability.SystemF.SysF Morphisms