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[helm.git] / matita / contribs / LOGIC / datatypes_props / Sequent.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 "datatypes_defs/Sequent.ma".
+
+theorem linj_inj: \forall a,c. linj a = linj c \to a = c.
+ intros; whd in H:(? ? % %); destruct; autobatch.
+qed.
+
+theorem rinj_inj: \forall b,d. rinj b = rinj d \to b = d.
+ intros; whd in H:(? ? % %); destruct; autobatch.
+qed.