]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_lift.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / dfr_lift.ma
index 28b21e5e0e4a10c90e2ab904f85cdded8bc089df..9478f78bcbb9d2e7791d3e1f5b448064f210825b 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
+include "delayed_updating/reduction/dfr.ma".
+
 include "delayed_updating/substitution/fsubst_lift.ma".
 include "delayed_updating/substitution/fsubst_eq.ma".
 include "delayed_updating/substitution/lift_constructors.ma".
 include "delayed_updating/substitution/lift_path_closed.ma".
 include "delayed_updating/substitution/lift_rmap_closed.ma".
 
-(**) (* reverse include *)
-include "delayed_updating/reduction/dfr.ma".
-
 (* DELAYED FOCUSED REDUCTION ************************************************)
 
 (* Constructions with lift **************************************************)
 
 theorem dfr_lift_bi (f) (t1) (t2) (r):
-        t1 โžก๐๐Ÿ[r] t2 โ†’ โ†‘[f]t1 โžก๐๐Ÿ[โ†‘[f]r] โ†‘[f]t2.
+        t1 โžก๐๐Ÿ[r] t2 โ†’ ๐Ÿ ก[f]t1 โžก๐๐Ÿ[๐Ÿ ก[f]r] ๐Ÿ ก[f]t2.
 #f #t1 #t2 #r
 * #p #q #n #Hr #Hn #Ht1 #Ht2 destruct
-@(ex4_3_intro โ€ฆ (โ†‘[f]p) (โ†‘[โ†‘[pโ—–๐—”โ—–๐—Ÿ]f]q) ((โ†‘[pโ—๐—”โ——๐—Ÿโ——q]f)๏ผ ยงโจnโฉ))
+@(ex4_3_intro โ€ฆ (๐Ÿ ก[f]p) (๐Ÿ ก[๐Ÿ ข[f](pโ—–๐—”โ—–๐—Ÿ)]q) (๐Ÿ ข[f](pโ—๐—”โ——๐—Ÿโ——q)๏ผ ยงโจnโฉ))
 [ -Hn -Ht1 -Ht2 //
 | -Ht1 -Ht2
   /2 width=1 by lift_path_rmap_closed_L/
@@ -44,7 +43,7 @@ theorem dfr_lift_bi (f) (t1) (t2) (r):
   @(subset_eq_canc_sn โ€ฆ (lift_term_grafted_S โ€ฆ))
   @lift_term_eq_repl_sn
 (* Note: crux of the proof begins *)
-  /2 width=2 by tls_succ_lift_rmap_append_L_closed_dx/
+  /2 width=2 by tls_succ_lift_rmap_append_closed_Lq_dx/
 (* Note: crux of the proof ends *)
 ]
 qed.