]> matita.cs.unibo.it Git - helm.git/blobdiff - matitaB/matita/contribs/RELATIONAL/NPlus/fun.ma
removing old contribs
[helm.git] / matitaB / matita / contribs / RELATIONAL / NPlus / fun.ma
diff --git a/matitaB/matita/contribs/RELATIONAL/NPlus/fun.ma b/matitaB/matita/contribs/RELATIONAL/NPlus/fun.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 "NPlus/inv.ma".
-
-(* Functional properties ****************************************************)
-
-theorem nplus_total: ∀p,q. ∃r. p ⊕ q ≍ r.
- intros; elim q; clear q;
- [ autobatch | decompose; autobatch ].
-qed.
-
-theorem nplus_mono: ∀p,q,r1. p ⊕ q ≍ r1 → 
-                    ∀r2. p ⊕ q ≍ r2 → r1 = r2.
- intros 4; elim H; clear H q r1;
- [ lapply linear nplus_inv_zero_2 to H1
- | lapply linear nplus_inv_succ_2 to H3. decompose
- ]; destruct; autobatch.
-qed.
-
-theorem nplus_inj_1: ∀p1, q, r. p1 ⊕ q ≍ r →
-                     ∀p2. p2 ⊕ q ≍ r → p2 = p1.
- intros 4; elim H; clear H q r;
- [ lapply linear nplus_inv_zero_2 to H1
- | lapply linear nplus_inv_succ_2_3 to H3
- ]; autobatch.
-qed.