fact: Fixpoint idSubst_term (sigmapoly_type : ( nat ) -> poly_type ) (sigmaterm : ( nat ) -> term ) (Eqpoly_type : forall x, sigmapoly_type x = (poly_var ) x) (Eqterm : forall x, sigmaterm x = (var ) x) (s : term ) : subst_term sigmapoly_type sigmaterm s = s := match s return subst_term sigmapoly_type sigmaterm s = s with | var s => Eqterm s | app s0 s1 => congr_app (idSubst_term sigmapoly_type sigmaterm Eqpoly_type Eqterm s0) (idSubst_term sigmapoly_type sigmaterm Eqpoly_type Eqterm s1) | abs s0 s1 => congr_abs (idSubst_poly_type sigmapoly_type Eqpoly_type s0) (idSubst_term (up_term_poly_type sigmapoly_type) (up_term_term sigmaterm) (upId_term_poly_type (_) Eqpoly_type) (upId_term_term (_) Eqterm) s1) | ty_app s0 s1 => congr_ty_app (idSubst_term sigmapoly_type sigmaterm Eqpoly_type Eqterm s0) (idSubst_poly_type sigmapoly_type Eqpoly_type s1) | ty_abs s0 => congr_ty_abs (idSubst_term (up_poly_type_poly_type sigmapoly_type) (up_poly_type_term sigmaterm) (upId_poly_type_poly_type (_) Eqpoly_type) (upId_poly_type_term (_) Eqterm) s0) end.
imports: Undecidability.SystemF.Autosubst.unscoped Undecidability.SystemF.SysF Morphisms