set "baseuri" "cic:/matita/CoRN-Decl/algebra/Basics".
+include "CoRN.ma".
+
(* $Id: Basics.v,v 1.7 2004/04/09 15:58:31 lcf Exp $ *)
(*#* printing alpha %\ensuremath{\alpha}% #α# *)
(*#* printing Z %\ensuremath{\mathbb Z}% #<b>Z</b># *)
-(* INCLUDE
-Omega
-*)
-
-(* INCLUDE
-Even
-*)
-
-(* INCLUDE
-Max
-*)
-
-(* INCLUDE
-Min
-*)
-
-(* INCLUDE
-ListType
-*)
+include "algebra/ListType.ma".
(*#* *Basics
This is random stuff that should be in the Coq basic library.
*)
-inline cic:/CoRN/algebra/Basics/lt_le_dec.con.
+inline "cic:/CoRN/algebra/Basics/lt_le_dec.con".
-inline cic:/CoRN/algebra/Basics/lt_z_two.con.
+inline "cic:/CoRN/algebra/Basics/lt_z_two.con".
-inline cic:/CoRN/algebra/Basics/le_pred.con.
+inline "cic:/CoRN/algebra/Basics/le_pred.con".
-inline cic:/CoRN/algebra/Basics/lt_mult_right.con.
+inline "cic:/CoRN/algebra/Basics/lt_mult_right.con".
-inline cic:/CoRN/algebra/Basics/le_mult_right.con.
+inline "cic:/CoRN/algebra/Basics/le_mult_right.con".
(*#* The power function does not exist in the standard library *)
-inline cic:/CoRN/algebra/Basics/power.con.
+inline "cic:/CoRN/algebra/Basics/power.con".
(*#* Factorial function. Does not exist in Arith.
Needed for special operations on polynomials. *)
-inline cic:/CoRN/algebra/Basics/fac.con.
+inline "cic:/CoRN/algebra/Basics/fac.con".
-inline cic:/CoRN/algebra/Basics/nat_fac_gtzero.con.
+inline "cic:/CoRN/algebra/Basics/nat_fac_gtzero.con".
(* needed for computational behavior of "Inversion" tactic *)
Qed.
*)
-inline cic:/CoRN/algebra/Basics/not_r_sumbool_rec.con.
+inline "cic:/CoRN/algebra/Basics/not_r_sumbool_rec.con".
-inline cic:/CoRN/algebra/Basics/not_l_sumbool_rec.con.
+inline "cic:/CoRN/algebra/Basics/not_l_sumbool_rec.con".
(* begin hide *)
(* begin hide *)
+coercion "cic:/matita/CoRN-Decl/algebra/Basics/Z_of_nat.con" 0 (* compounds *).
+
(* end hide *)
-inline cic:/CoRN/algebra/Basics/POS_anti_convert.con.
+inline "cic:/CoRN/algebra/Basics/POS_anti_convert.con".
-inline cic:/CoRN/algebra/Basics/NEG_anti_convert.con.
+inline "cic:/CoRN/algebra/Basics/NEG_anti_convert.con".
-inline cic:/CoRN/algebra/Basics/lt_O_positive_to_nat.con.
+inline "cic:/CoRN/algebra/Basics/lt_O_positive_to_nat.con".
-inline cic:/CoRN/algebra/Basics/anti_convert_pred_convert.con.
+inline "cic:/CoRN/algebra/Basics/anti_convert_pred_convert.con".
-inline cic:/CoRN/algebra/Basics/p_is_some_anti_convert.con.
+inline "cic:/CoRN/algebra/Basics/p_is_some_anti_convert.con".
-inline cic:/CoRN/algebra/Basics/convert_is_POS.con.
+inline "cic:/CoRN/algebra/Basics/convert_is_POS.con".
-inline cic:/CoRN/algebra/Basics/min_convert_is_NEG.con.
+inline "cic:/CoRN/algebra/Basics/min_convert_is_NEG.con".
-inline cic:/CoRN/algebra/Basics/inject_nat_convert.con.
+inline "cic:/CoRN/algebra/Basics/inject_nat_convert.con".
-inline cic:/CoRN/algebra/Basics/Z_exh.con.
+inline "cic:/CoRN/algebra/Basics/Z_exh.con".
-inline cic:/CoRN/algebra/Basics/nats_Z_ind.con.
+inline "cic:/CoRN/algebra/Basics/nats_Z_ind.con".
-inline cic:/CoRN/algebra/Basics/pred_succ_Z_ind.con.
+inline "cic:/CoRN/algebra/Basics/pred_succ_Z_ind.con".
-inline cic:/CoRN/algebra/Basics/Zmult_minus_distr_r.con.
+inline "cic:/CoRN/algebra/Basics/Zmult_minus_distr_r.con".
-inline cic:/CoRN/algebra/Basics/Zodd_Zeven_min1.con.
+inline "cic:/CoRN/algebra/Basics/Zodd_Zeven_min1.con".
(* begin hide *)
(* end hide *)
-inline cic:/CoRN/algebra/Basics/caseZ_diff.con.
+inline "cic:/CoRN/algebra/Basics/caseZ_diff.con".
(* begin hide *)
(* end hide *)
-inline cic:/CoRN/algebra/Basics/caseZ_diff_O.con.
+inline "cic:/CoRN/algebra/Basics/caseZ_diff_O.con".
-inline cic:/CoRN/algebra/Basics/caseZ_diff_Pos.con.
+inline "cic:/CoRN/algebra/Basics/caseZ_diff_Pos.con".
-inline cic:/CoRN/algebra/Basics/caseZ_diff_Neg.con.
+inline "cic:/CoRN/algebra/Basics/caseZ_diff_Neg.con".
-inline cic:/CoRN/algebra/Basics/proper_caseZ_diff.con.
+inline "cic:/CoRN/algebra/Basics/proper_caseZ_diff.con".
-inline cic:/CoRN/algebra/Basics/diff_Z_ind.con.
+inline "cic:/CoRN/algebra/Basics/diff_Z_ind.con".
-inline cic:/CoRN/algebra/Basics/Zlt_reg_mult_l.con.
+inline "cic:/CoRN/algebra/Basics/Zlt_reg_mult_l.con".
-inline cic:/CoRN/algebra/Basics/Zlt_opp.con.
+inline "cic:/CoRN/algebra/Basics/Zlt_opp.con".
-inline cic:/CoRN/algebra/Basics/Zlt_conv_mult_l.con.
+inline "cic:/CoRN/algebra/Basics/Zlt_conv_mult_l.con".
-inline cic:/CoRN/algebra/Basics/Zgt_not_eq.con.
+inline "cic:/CoRN/algebra/Basics/Zgt_not_eq.con".
-inline cic:/CoRN/algebra/Basics/Zmult_absorb.con.
+inline "cic:/CoRN/algebra/Basics/Zmult_absorb.con".
(* UNEXPORTED
Section Well_foundedT.
*)
-inline cic:/CoRN/algebra/Basics/A.var.
+inline "cic:/CoRN/algebra/Basics/A.var".
-inline cic:/CoRN/algebra/Basics/R.var.
+inline "cic:/CoRN/algebra/Basics/R.var".
(*#* The accessibility predicate is defined to be non-informative *)
-inline cic:/CoRN/algebra/Basics/Acc.ind.
+inline "cic:/CoRN/algebra/Basics/Acc.ind".
(* UNEXPORTED
End Well_foundedT.
Section AccT.
*)
-inline cic:/CoRN/algebra/Basics/A.var.
+inline "cic:/CoRN/algebra/Basics/A.var".
-inline cic:/CoRN/algebra/Basics/well_founded.con.
+inline "cic:/CoRN/algebra/Basics/well_founded.con".
(* UNEXPORTED
End AccT.
Section IndT.
*)
-inline cic:/CoRN/algebra/Basics/A.var.
+inline "cic:/CoRN/algebra/Basics/A.var".
-inline cic:/CoRN/algebra/Basics/R.var.
+inline "cic:/CoRN/algebra/Basics/R.var".
(* UNEXPORTED
Section AccIter.
*)
-inline cic:/CoRN/algebra/Basics/P.var.
+inline "cic:/CoRN/algebra/Basics/P.var".
-inline cic:/CoRN/algebra/Basics/F.var.
+inline "cic:/CoRN/algebra/Basics/F.var".
-inline cic:/CoRN/algebra/Basics/Acc_inv.con.
+inline "cic:/CoRN/algebra/Basics/Acc_inv.con".
-inline cic:/CoRN/algebra/Basics/Acc_iter.con.
+inline "cic:/CoRN/algebra/Basics/Acc_iter.con".
(* UNEXPORTED
End AccIter.
*)
-inline cic:/CoRN/algebra/Basics/Rwf.var.
+inline "cic:/CoRN/algebra/Basics/Rwf.var".
-inline cic:/CoRN/algebra/Basics/well_founded_induction_type.con.
+inline "cic:/CoRN/algebra/Basics/well_founded_induction_type.con".
(* UNEXPORTED
End IndT.
Section InductionT.
*)
-inline cic:/CoRN/algebra/Basics/A.var.
+inline "cic:/CoRN/algebra/Basics/A.var".
-inline cic:/CoRN/algebra/Basics/f.var.
+inline "cic:/CoRN/algebra/Basics/f.var".
-inline cic:/CoRN/algebra/Basics/ltof.con.
+inline "cic:/CoRN/algebra/Basics/ltof.con".
-inline cic:/CoRN/algebra/Basics/well_founded_ltof.con.
+inline "cic:/CoRN/algebra/Basics/well_founded_ltof.con".
-inline cic:/CoRN/algebra/Basics/induction_ltof2T.con.
+inline "cic:/CoRN/algebra/Basics/induction_ltof2T.con".
(* UNEXPORTED
End InductionT.
Section InductionTT.
*)
-inline cic:/CoRN/algebra/Basics/lt_wf_rect.con.
+inline "cic:/CoRN/algebra/Basics/lt_wf_rect.con".
(* UNEXPORTED
End InductionTT.