From beb2e07d06ead1ba8d20fef3541959ed29748068 Mon Sep 17 00:00:00 2001
From: Cristian Armentano <??>
Date: Thu, 16 Aug 2007 18:45:46 +0000
Subject: [PATCH] little change to theorem eq_gcd_times_times_eqv_times_gcd

---
 .../matita/library/nat/gcd_properties1.ma     | 26 +++++++++++++++++--
 1 file changed, 24 insertions(+), 2 deletions(-)

diff --git a/helm/software/matita/library/nat/gcd_properties1.ma b/helm/software/matita/library/nat/gcd_properties1.ma
index aa9783a96..637c20f4a 100644
--- a/helm/software/matita/library/nat/gcd_properties1.ma
+++ b/helm/software/matita/library/nat/gcd_properties1.ma
@@ -203,7 +203,29 @@ apply (nat_case1 c)
   simplify.
   reflexivity
 | intros.
-  rewrite < H. 
+  rewrite < H.
+  apply gcd1
+  [ apply divides_times
+    [ apply divides_n_n
+    | apply divides_gcd_n.
+    ]
+  | apply divides_times
+    [ apply divides_n_n
+    | rewrite > sym_gcd.  
+      apply divides_gcd_n
+    ]
+  | intros.
+    apply (divides_d_times_gcd)
+    [ rewrite > H.
+      apply lt_O_S  
+    | assumption
+    | assumption
+    ]
+  ]
+]
+qed.
+  
+  (* 
   apply (nat_case1 a)
   [ intros.
     rewrite > (sym_times c O).
@@ -241,7 +263,7 @@ apply (nat_case1 c)
     ]
   ]
 ]
-qed.
+qed.*)
 
 
 theorem associative_nat_gcd: associative nat gcd.
-- 
2.39.2