fact: Fixpoint extRen_term (xipoly_type : ( nat ) -> nat ) (xiterm : ( nat ) -> nat ) (zetapoly_type : ( nat ) -> nat ) (zetaterm : ( nat ) -> nat ) (Eqpoly_type : forall x, xipoly_type x = zetapoly_type x) (Eqterm : forall x, xiterm x = zetaterm x) (s : term ) : ren_term xipoly_type xiterm s = ren_term zetapoly_type zetaterm s := match s return ren_term xipoly_type xiterm s = ren_term zetapoly_type zetaterm s with | var s => ap (var ) (Eqterm s) | app s0 s1 => congr_app (extRen_term xipoly_type xiterm zetapoly_type zetaterm Eqpoly_type Eqterm s0) (extRen_term xipoly_type xiterm zetapoly_type zetaterm Eqpoly_type Eqterm s1) | abs s0 s1 => congr_abs (extRen_poly_type xipoly_type zetapoly_type Eqpoly_type s0) (extRen_term (upRen_term_poly_type xipoly_type) (upRen_term_term xiterm) (upRen_term_poly_type zetapoly_type) (upRen_term_term zetaterm) (upExtRen_term_poly_type (_) (_) Eqpoly_type) (upExtRen_term_term (_) (_) Eqterm) s1) | ty_app s0 s1 => congr_ty_app (extRen_term xipoly_type xiterm zetapoly_type zetaterm Eqpoly_type Eqterm s0) (extRen_poly_type xipoly_type zetapoly_type Eqpoly_type s1) | ty_abs s0 => congr_ty_abs (extRen_term (upRen_poly_type_poly_type xipoly_type) (upRen_poly_type_term xiterm) (upRen_poly_type_poly_type zetapoly_type) (upRen_poly_type_term zetaterm) (upExtRen_poly_type_poly_type (_) (_) Eqpoly_type) (upExtRen_poly_type_term (_) (_) Eqterm) s0) end.
imports: Undecidability.SystemF.Autosubst.unscoped Undecidability.SystemF.SysF Morphisms