update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_rmap_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma
index a2f841e43456f83c320ec7d0489787ec80f14110..790b2e6054c0734ff88c98484494ce4301154b7a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma
@@ -13,9 +13,8 @@
 (**************************************************************************)
 
 include "delayed_updating/substitution/lift_rmap.ma".
-include "ground/relocation/tr_pn_eq.ma".
+include "delayed_updating/substitution/prelift_rmap_eq.ma".
 include "ground/lib/stream_tls_plus.ma".
-include "ground/lib/stream_tls_eq.ma".
 include "ground/arith/nat_plus_rplus.ma".
 include "ground/arith/nat_rplus_pplus.ma".
 
@@ -24,19 +23,14 @@ include "ground/arith/nat_rplus_pplus.ma".
 (* Constructions with lift_eq ***********************************************)
 
 lemma lift_rmap_eq_repl (p):
-      stream_eq_repl … (λf1,f2. ↑[p]f1 ≗ ↑[p]f2).
+      stream_eq_repl … (λf1,f2. 🠢[f1]p ≗ 🠢[f2]p).
 #p elim p -p //
-* [ #k ] #p #IH #f1 #f2 #Hf
-[ /3 width=1 by stream_tls_eq_repl/
-| /2 width=1 by/
-| /3 width=1 by tr_push_eq_repl/
-| /2 width=1 by/
-| /2 width=1 by/
-]
+#l #p #IH #f1 #f2 #Hf
+/3 width=1 by prelift_rmap_eq_repl/
 qed.
 
 lemma tls_lift_rmap_d_dx (f) (p) (n) (k):
-      ⇂*[n+k]↑[p]f ≗ ⇂*[n]↑[p◖𝗱k]f.
+      ⇂*[n+k]🠢[f]p ≗ ⇂*[n]🠢[f](p◖𝗱k).
 #f #p #n #k
 <lift_rmap_d_dx >nrplus_inj_dx >nrplus_inj_sn //
 qed.