set "baseuri" "cic:/matita/CoRN-Decl/algebra/CPoly_ApZero".
+include "CoRN.ma".
+
(* $Id: CPoly_ApZero.v,v 1.3 2004/04/23 10:00:53 lcf Exp $ *)
-(* INCLUDE
-CPoly_Degree
-*)
+include "algebra/CPoly_Degree.ma".
-(* INCLUDE
-COrdFields2
-*)
+include "algebra/COrdFields2.ma".
(*#* * Polynomials apart from zero *)
-inline cic:/CoRN/algebra/CPoly_ApZero/distinct1.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/distinct1.con".
(* UNEXPORTED
Implicit Arguments distinct1 [A].
*)
(* UNEXPORTED
-Section Poly_Representation.
+Section Poly_Representation
*)
(*#*
%\end{convention}%
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/R.var.
+alias id "R" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/R.var".
-inline cic:/CoRN/algebra/CPoly_ApZero/a_.var.
+alias id "a_" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/a_.var".
-inline cic:/CoRN/algebra/CPoly_ApZero/distinct_a_.var.
+alias id "distinct_a_" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/distinct_a_.var".
-inline cic:/CoRN/algebra/CPoly_ApZero/f.var.
+alias id "f" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/f.var".
-inline cic:/CoRN/algebra/CPoly_ApZero/n.var.
+alias id "n" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/n.var".
-inline cic:/CoRN/algebra/CPoly_ApZero/degree_f.var.
+alias id "degree_f" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/degree_f.var".
(* begin hide *)
+(* NOTATION
+Notation RX := (cpoly_cring R).
+*)
+
(* end hide *)
-(* INCLUDE
-Transparent_algebra
-*)
+include "tactics/Transparent_algebra.ma".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_linear_shifted.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_linear_shifted.con".
-(* INCLUDE
-Opaque_algebra
-*)
+include "tactics/Opaque_algebra.ma".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_linear_factor.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_linear_factor.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/zero_poly.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/zero_poly.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/identical_poly.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/identical_poly.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'_degree.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'_degree.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'_zero.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'_zero.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'_apzero.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor'_apzero.con".
(* UNEXPORTED
Hint Resolve poly_01_factor'_zero.
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor_degree.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor_degree.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor_zero.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor_zero.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor_one.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_factor_one.con".
(* UNEXPORTED
Hint Resolve poly_01_factor_zero poly_01_factor_one: algebra.
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_degree'.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_degree'.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_degree.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_degree.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_zero.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_zero.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_01_one.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_01_one.con".
(* UNEXPORTED
Hint Resolve poly_01_zero poly_01_one: algebra.
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_representation''.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_representation''.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_representation'.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_representation'.con".
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_representation.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_representation.con".
(* UNEXPORTED
Hint Resolve poly_representation: algebra.
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/Cpoly_choose_apzero.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/Cpoly_choose_apzero.con".
(* UNEXPORTED
-End Poly_Representation.
+End Poly_Representation
*)
(* UNEXPORTED
-Section Characteristic_zero.
+Section Characteristic_zero
*)
(*#*
strengthened.
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/R.var.
+alias id "R" = "cic:/CoRN/algebra/CPoly_ApZero/Characteristic_zero/R.var".
(* begin show *)
-inline cic:/CoRN/algebra/CPoly_ApZero/H.var.
+alias id "H" = "cic:/CoRN/algebra/CPoly_ApZero/Characteristic_zero/H.var".
(* end show *)
(* begin hide *)
+(* NOTATION
+Notation RX := (cpoly_cring R).
+*)
+
(* end hide *)
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_apzero.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_apzero.con".
(*#*
Also, in this situation polynomials are extensional functions.
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/poly_extensional.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/poly_extensional.con".
(* UNEXPORTED
-End Characteristic_zero.
+End Characteristic_zero
*)
(*#*
*)
(* UNEXPORTED
-Section Poly_ApZero_Interval.
+Section Poly_ApZero_Interval
*)
-inline cic:/CoRN/algebra/CPoly_ApZero/R.var.
+alias id "R" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_ApZero_Interval/R.var".
(* begin hide *)
+(* NOTATION
+Notation RX := (cpoly_cring R).
+*)
+
(* end hide *)
-inline cic:/CoRN/algebra/CPoly_ApZero/Cpoly_apzero_interval.con.
+inline "cic:/CoRN/algebra/CPoly_ApZero/Cpoly_apzero_interval.con".
(* UNEXPORTED
-End Poly_ApZero_Interval.
+End Poly_ApZero_Interval
*)