set "baseuri" "cic:/matita/CoRN-Decl/model/structures/Qpossec".
+include "CoRN.ma".
+
(* $Id: Qpossec.v,v 1.5 2004/04/06 15:46:05 lcf Exp $ *)
(*#* printing Qpos $\mathbb{Q}^{+}$ #Q<SUP>+</SUP># *)
-(* INCLUDE
-Qsec
-*)
+include "model/structures/Qsec.ma".
-(* INCLUDE
-CLogic
-*)
+include "algebra/CLogic.ma".
(*#* **About [Qpos]
We will prove some lemmas concerning rationals bigger than 0.
One, two and four are all bigger than zero.
*)
-inline cic:/CoRN/model/structures/Qpossec/pos_QONE.con.
+inline "cic:/CoRN/model/structures/Qpossec/pos_QONE.con".
-inline cic:/CoRN/model/structures/Qpossec/pos_QTWO.con.
+inline "cic:/CoRN/model/structures/Qpossec/pos_QTWO.con".
-inline cic:/CoRN/model/structures/Qpossec/pos_QFOUR.con.
+inline "cic:/CoRN/model/structures/Qpossec/pos_QFOUR.con".
(*#* A positive rational is not zero.
*)
-inline cic:/CoRN/model/structures/Qpossec/pos_imp_nonzero.con.
+inline "cic:/CoRN/model/structures/Qpossec/pos_imp_nonzero.con".
(*#* ***Multiplication
The product of two positive rationals is again positive.
*)
-inline cic:/CoRN/model/structures/Qpossec/Qmult_pres_pos0.con.
+inline "cic:/CoRN/model/structures/Qpossec/Qmult_pres_pos0.con".
(*#* ***Inverse
The inverse of a positive rational is again positive.
*)
-inline cic:/CoRN/model/structures/Qpossec/inv_pres_pos0.con.
+inline "cic:/CoRN/model/structures/Qpossec/inv_pres_pos0.con".
(*#* ***Special multiplication
Now we will investigate the function $(x,y) \mapsto xy/2$#(x,y)
\mapsto 4/x$ #x ↦ 4/x#.
*)
-inline cic:/CoRN/model/structures/Qpossec/QTWOpos_is_rht_unit0.con.
+inline "cic:/CoRN/model/structures/Qpossec/QTWOpos_is_rht_unit0.con".
-inline cic:/CoRN/model/structures/Qpossec/QTWOpos_is_left_unit0.con.
+inline "cic:/CoRN/model/structures/Qpossec/QTWOpos_is_left_unit0.con".
-inline cic:/CoRN/model/structures/Qpossec/multdiv2_is_inv.con.
+inline "cic:/CoRN/model/structures/Qpossec/multdiv2_is_inv.con".