X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNPlus%2Ffun.ma;h=4fcdab720b304f73e04e243f1c74b3a186f3e355;hb=d9824956d9132109ed5f23380a0a1f9c5181d18a;hp=66847cf934fcc7c603c709bd074a2a481bf8068d;hpb=ee31ecd9be54fb4a3d815f11d77e88c3c49ff363;p=helm.git

diff --git a/helm/software/matita/contribs/RELATIONAL/NPlus/fun.ma b/helm/software/matita/contribs/RELATIONAL/NPlus/fun.ma
index 66847cf93..4fcdab720 100644
--- a/helm/software/matita/contribs/RELATIONAL/NPlus/fun.ma
+++ b/helm/software/matita/contribs/RELATIONAL/NPlus/fun.ma
@@ -12,28 +12,28 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/RELATIONAL/NPlus/fun".
+
 
 include "NPlus/inv.ma".
 
 (* Functional properties ****************************************************)
 
-theorem nplus_total: \forall p,q. \exists r. p + q == r.
- intros 2. elim q; clear q;
- [ autobatch | decompose. autobatch ].
+theorem nplus_total: ∀p,q. ∃r. p ⊕ q ≍ r.
+ intros; elim q; clear q;
+ [ autobatch | decompose; autobatch ].
 qed.
 
-theorem nplus_mono: \forall p,q,r1. (p + q == r1) \to 
-                    \forall r2. (p + q == r2) \to r1 = r2.
- intros 4. elim H; clear H q r1;
+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
- ]; subst; autobatch.
+ ]; destruct; autobatch.
 qed.
 
-theorem nplus_inj_1: \forall p1, q, r. (p1 + q == r) \to
-                     \forall p2. (p2 + q == r) \to p2 = p1.
- intros 4. elim H; clear H q r;
+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.