lfpx_frees and confluence of lfpr!

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpr_lfpr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_lfpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_lfpr.ma
index e8955fd1eca40270d173896be0b676c6c7b99f7f..fe854ea4584f51785dd83bb72adf5b9d24a3b219 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_lfpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_lfpr.ma
@@ -12,11 +12,14 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/static/lfxs_lfxs.ma".
+include "basic_2/rt_transition/lfpx_frees.ma".
 include "basic_2/rt_transition/cpm_lsubr.ma".
 include "basic_2/rt_transition/cpr.ma".
 include "basic_2/rt_transition/cpr_drops.ma".
 include "basic_2/rt_transition/lfpr_drops.ma".
 include "basic_2/rt_transition/lfpr_fqup.ma".
+include "basic_2/rt_transition/lfpr_lfpx.ma".
 
 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
 
@@ -298,7 +301,7 @@ lapply (lifts_mono … HX … HVU) -HX #H destruct
 /4 width=7 by cpm_bind, cpr_flat, ex2_intro/ (**) (* full auto not tried *)
 qed-.
 
-theorem cpr_conf_lfpr: ∀h,G. lfxs_confluent (cpm 0 h G) (cpm 0 h G) (cpm 0 h G) (cpm 0 h G).
+theorem cpr_conf_lfpr: ∀h,G. R_confluent2_lfxs (cpm 0 h G) (cpm 0 h G) (cpm 0 h G) (cpm 0 h G).
 #h #G #L0 #T0 @(fqup_wf_ind_eq … G L0 T0) -G -L0 -T0 #G #L #T #IH #G0 #L0 * [| * ]
 [ #I0 #HG #HL #HT #T1 #H1 #T2 #H2 #L1 #HL01 #L2 #HL02 destruct
   elim (cpr_inv_atom1_drops … H1) -H1
@@ -374,10 +377,5 @@ qed-.
 
 (* Main properties **********************************************************)
 
-(*
-
-theorem lpr_conf: ∀G. confluent … (lpr G).
-/3 width=6 by lpx_sn_conf, cpr_conf_lpr/
-qed-.
-
-*)
+theorem lfpr_conf: ∀h,G,T. confluent … (lfpr h G T).
+/4 width=6 by cpr_conf_lfpr, lfpx_frees_conf_fwd_lfpr, lfpx_frees_conf, lfxs_conf/ qed-.