]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_lift.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / ifr_lift.ma
index 1d8f5855a143beeb2e37eb06e8f8c3ef00e5dd5b..cd597c2bbdbf56b23f94edcc1d62b63f8557546b 100644 (file)
@@ -28,10 +28,10 @@ include "ground/relocation/tr_compose_eq.ma".
 (* Constructions with lift **************************************************)
 
 theorem ifr_lift_bi (f) (t1) (t2) (r):
-        t1 โžก๐ข๐Ÿ[r] t2 โ†’ โ†‘[f]t1 โžก๐ข๐Ÿ[โ†‘[f]r] โ†‘[f]t2.
+        t1 โžก๐ข๐Ÿ[r] t2 โ†’ ๐Ÿ ก[f]t1 โžก๐ข๐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/
@@ -49,7 +49,7 @@ theorem ifr_lift_bi (f) (t1) (t2) (r):
 (* Note: crux of the proof begins *)
   @(stream_eq_trans โ€ฆ (tr_compose_uni_dx_pap โ€ฆ)) <tr_pap_succ_nap
   @tr_compose_eq_repl // >nsucc_unfold
-  /2 width=1 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.