some renaming and reordering of variables

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_llpx_sn.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_llpx_sn.ma
index 8af5b819377e6debd1d9daed8d293d9d596d7eab..8395d7501f80403c43b83d7a145cedba264d2da2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_llpx_sn.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_llpx_sn.ma
@@ -20,14 +20,14 @@ include "basic_2/reduction/cpr.ma".
 (* Properties on lazy sn pointwise extensions *******************************)
 
 lemma cpr_llpx_sn_conf: ∀R. (∀L. reflexive … (R L)) → d_liftable R → d_deliftable_sn R →
-                        ∀G. c_r_confluent1 … (cpr G) (llpx_sn R 0).
+                        ∀G. b_c_confluent1 … (cpr G) (llpx_sn R 0).
 #R #H1R #H2R #H3R #G #Ls #T1 #T2 #H elim H -G -Ls -T1 -T2
 [ //
-| #G #Ls #Ks #V1c #V2c #W2c #i #HLKs #_ #HVW2c #IHV12c #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H
-  #Kd #V1l #HLKd #HV1c #HV1sd
+| #G #Ls #Ks #V1b #V2b #W2b #i #HLKs #_ #HVW2b #IHV12b #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H
+  #Kd #V1l #HLKd #HV1b #HV1sd
   lapply (drop_fwd_drop2 … HLKs) -HLKs #HLKs
   lapply (drop_fwd_drop2 … HLKd) -HLKd #HLKd
-  @(llpx_sn_lift_le … HLKs HLKd … HVW2c) -HLKs -HLKd -HVW2c /2 width=1 by/ (**) (* full auto too slow *)
+  @(llpx_sn_lift_le … HLKs HLKd … HVW2b) -HLKs -HLKd -HVW2b /2 width=1 by/ (**) (* full auto too slow *)
 | #a #I #G #Ls #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #Ld #H elim (llpx_sn_inv_bind_O … H) -H
   /4 width=5 by llpx_sn_bind_repl_SO, llpx_sn_bind/
 | #I #G #Ls #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H