update in delayd_updating

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

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma
index b332b841fb1f39929c857b39c01d8ce66da6d112..79443ca3ba9258b36eff07e4a2c27db3ba200865 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma
@@ -31,3 +31,14 @@ lemma lift_path_rmap_closed (f) (p) (q) (n):
       q ϵ 𝐂❨n❩ → ↑[↑[p]f]q ϵ 𝐂❨↑[p●q]f＠❨n❩❩.
 /2 width=1 by lift_path_closed/
 qed.
+
+lemma lift_path_rmap_closed_L (f) (p) (q) (n):
+      q ϵ 𝐂❨n❩ → ↑[↑[p◖𝗟]f]q ϵ 𝐂❨↑[p●𝗟◗q]f＠§❨n❩❩.
+#f #p #q #n #Hq
+lapply (lift_path_closed (↑[p◖𝗟]f) … Hq) #Hq0
+lapply (pcc_L_sn … Hq) -Hq #Hq1
+lapply (lift_path_rmap_closed f p … Hq1) -Hq1
+<lift_path_L_sn >lift_rmap_L_dx #Hq1
+elim (pcc_inv_L_sn … Hq1 Hq0) -Hq1 #H0 #_
+<H0 in Hq0; -H0 //
+qed.