update in ground, basic_2A and apps_2

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / fr2_append.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/fr2_append.ma b/matita/matita/contribs/lambdadelta/ground/relocation/fr2_append.ma
index c2d7b9ed7d4ad532e173ca037626e5f87ab2b925..911c011b4a1327fac088fc8eaa08b2910c5bf99e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/relocation/fr2_append.ma
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/fr2_append.ma
@@ -12,30 +12,30 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "ground/notation/functions/append_2.ma".
+include "ground/notation/functions/black_circle_2.ma".
 include "ground/relocation/fr2_map.ma".
 
 (* CONCATENATION FOR FINITE RELOCATION MAPS WITH PAIRS **********************)
 
-(* Note: this is compose *)
+(* Note: this is reverse compose *)
 (*** fr2_append *)
 rec definition fr2_append f1 f2 on f1 ≝ match f1 with
-[ fr2_nil          ⇒ f2
-| fr2_cons d h f1 ⇒ ❨d, h❩; fr2_append f1 f2
+[ fr2_empty        ⇒ f2
+| fr2_lcons d h f1 ⇒ ❨d, h❩◗ fr2_append f1 f2
 ].
 
 interpretation
   "append (finite relocation maps with pairs)" 
-  'Append f1 f2 = (fr2_append f1 f2).
+  'BlackCircle f1 f2 = (fr2_append f1 f2).
 
 (* Basic constructions ******************************************************)
 
 (*** mr2_append_nil *)
-lemma fr2_append_nil (f2):
-      f2 = ◊ @@ f2.
+lemma fr2_append_empty (f2):
+      f2 = 𝐞 ● f2.
 // qed.
 
 (*** mr2_append_cons *)
-lemma fr2_append_cons (d) (h) (f1) (f2):
-      ❨d, h❩; (f1 @@ f2) = (❨d, h❩; f1) @@ f2.
+lemma fr2_append_lcons (d) (h) (f1) (f2):
+      ❨d, h❩◗ (f1 ● f2) = (❨d, h❩◗ f1) ● f2.
 // qed.