- init_cache_and_tables rewritten using the automation_cache

[helm.git] / helm / software / matita / library / didactic / exercises / substitution.ma

diff --git a/helm/software/matita/library/didactic/exercises/substitution.ma b/helm/software/matita/library/didactic/exercises/substitution.ma
index e3472c7a4ce0cdf27233072adc5b71282344aab2..8ac8fbc1e96223fc8904d29462aa6842d80bae38 100644 (file)
--- a/helm/software/matita/library/didactic/exercises/substitution.ma
+++ b/helm/software/matita/library/didactic/exercises/substitution.ma
@@ -470,8 +470,8 @@ case FAnd.
   by (*BEGIN*)IH22(*END*) we proved ([[ F2[ G1/x ] ]]_v = [[ F2[ G2/x ] ]]_v) (IH222).
   conclude 
       (min ([[ F1[ G1/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) 
-    = (min ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH222.
-    = (min ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by (*BEGIN*)IH111(*END*).
+    = (min ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH111.
+    = (min ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by (*BEGIN*)IH222(*END*).
   (*END*)
   done.
 case FOr.
@@ -492,8 +492,8 @@ case FOr.
   by IH22 we proved ([[ F2[ G1/x ] ]]_v = [[ F2[ G2/x ] ]]_v) (IH222).
   conclude 
       (max ([[ F1[ G1/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) 
-    = (max ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH222.
-    = (max ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by IH111.
+    = (max ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH111.
+    = (max ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by IH222.
   (*END*)
   done.
 case FImpl.