]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_lift.ma
commit in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / dfr_lift.ma
index 757497d4e852d77f5e3c32e07a8da8f4bf57dd6d..e8d26308eb81d78b9ffb9405d918173a340605e8 100644 (file)
@@ -27,12 +27,12 @@ include "delayed_updating/substitution/lift_rmap_head.ma".
 theorem dfr_lift_bi (f) (p) (q) (t1) (t2):
         t1 āž”ššŸ[p,q] t2 ā†’ ā†‘[f]t1 āž”ššŸ[ā†‘[f]p,ā†‘[ā†‘[pā—–š—”ā—–š—Ÿ]f]q] ā†‘[f]t2.
 #f #p #q #t1 #t2
-* #n * #H1n #Ht1 #Ht2
-@(ex_intro ā€¦ ((ā†‘[pā—š—”ā——š—Ÿā——q]f)ļ¼ ā§£āØnā©)) @and3_intro
+* #k * #H1k #Ht1 #Ht2
+@(ex_intro ā€¦ ((ā†‘[pā—š—”ā——š—Ÿā——q]f)ļ¼ ā§£āØkā©)) @and3_intro
 [ -Ht1 -Ht2
   <lift_rmap_L_dx >lift_path_L_sn
-  <(lift_path_head ā€¦ H1n) in āŠ¢ (??%?); -H1n //
-| lapply (in_comp_lift_path_term f ā€¦ Ht1) -Ht2 -Ht1 -H1n
+  <(lift_path_head_closed ā€¦ H1k) in āŠ¢ (??%?); -H1k //
+| lapply (in_comp_lift_path_term f ā€¦ Ht1) -Ht2 -Ht1 -H1k
   <lift_path_d_dx #Ht1 //
 | lapply (lift_term_eq_repl_dx f ā€¦ Ht2) -Ht2 #Ht2 -Ht1
   @(subset_eq_trans ā€¦ Ht2) -t2
@@ -43,7 +43,7 @@ theorem dfr_lift_bi (f) (p) (q) (t1) (t2):
   @(subset_eq_canc_sn ā€¦ (lift_term_grafted_S ā€¦))
   @lift_term_eq_repl_sn
 (* Note: crux of the proof begins *)
-  >list_append_rcons_sn in H1n; #H1n >lift_rmap_A_dx
+  >list_append_rcons_sn in H1k; #H1k >lift_rmap_A_dx
   /2 width=1 by tls_lift_rmap_closed/
 (* Note: crux of the proof ends *)
 ]