Stuff moved from old Matita.

[helm.git] / matita / matita / nlibrary / datatypes / pairs.ma

diff --git a/matita/matita/nlibrary/datatypes/pairs.ma b/matita/matita/nlibrary/datatypes/pairs.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "logic/pts.ma".
+
+nrecord pair (A,B: Type[0]) : Type[0] ≝
+ { fst: A;
+   snd: B
+ }.
+
+interpretation "Pair construction" 'pair x y = (mk_pair ? ? x y).
+
+interpretation "Product" 'product x y = (pair x y).
+
+interpretation "pair pi1" 'pi1 = (fst ? ?).
+interpretation "pair pi2" 'pi2 = (snd ? ?).
+interpretation "pair pi1" 'pi1a x = (fst ? ? x).
+interpretation "pair pi2" 'pi2a x = (snd ? ? x).
+interpretation "pair pi1" 'pi1b x y = (fst ? ? x y).
+interpretation "pair pi2" 'pi2b x y = (snd ? ? x y).