(* This file draws heavily on the generated lemmas in Stlc.Lemmas. *)

(*************************************************************)
(*   Connection to nominal representation of terms           *)
(*************************************************************)

(* A named representation of STLC terms.
   No debruijn indices, and binders include the names of free variables. *)

Inductive n_exp : Set :=
 | n_var (x:var)
 | n_abs (x:var) (e:n_exp)
 | n_app (e1:n_exp) (e2:n_exp).(* This file draws heavily on the generated lemmas in Stlc.Lemmas. *)

(*************************************************************)
(*   Connection to nominal representation of terms           *)
(*************************************************************)

(* A named representation of STLC terms.
   No debruijn indices, and binders include the names of free variables. *)

Inductive n_exp : Set :=
 | n_var (x:var)
 | n_abs (x:var) (e:n_exp)
 | n_app (e1:n_exp) (e2:n_exp).(* This file draws heavily on the generated lemmas in Stlc.Lemmas. *)

(*************************************************************)
(*   Connection to nominal representation of terms           *)
(*************************************************************)

(* A named representation of STLC terms.
   No debruijn indices, and binders include the names of free variables. *)

Inductive n_exp : Set :=
 | n_var (x:var)
 | n_abs (x:var) (e:n_exp)
 | n_app (e1:n_exp) (e2:n_exp).(* This file draws heavily on the generated lemmas in Stlc.Lemmas. *)

(*************************************************************)
(*   Connection to nominal representation of terms           *)
(*************************************************************)

(* A named representation of STLC terms.
   No debruijn indices, and binders include the names of free variables. *)

Inductive n_exp : Set :=
 | n_var (x:var)
 | n_abs (x:var) (e:n_exp)
 | n_app (e1:n_exp) (e2:n_exp).Parameter X : var.Parameter Y : var.Parameter neqXY : X <> Y.Definition example_X : n_exp := n_abs X (n_var X).Definition example_Y : n_exp := n_abs Y (n_var Y).

Lemma names_matter : example_X <> example_Y.