X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_cpxs.ma;h=8f77d9190d16e7c9aaf85f6013161a19213bfbd5;hb=e9da8e091898b6e67a2f270581bdc5cdbe80e9b0;hp=02436e7a40f8f068be00581ca85f664afb77d0d3;hpb=3a430d712f9d87185e9271b7b0c5188c5f311e4b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma
index 02436e7a4..8f77d9190 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma
@@ -93,7 +93,7 @@ qed-.
 
 (* Properties on sn extended parallel reduction for local environments ******)
 
-lemma lpx_cpx_trans: ∀h,o,G. c_r_transitive … (cpx h o G) (λ_.lpx h o G).
+lemma lpx_cpx_trans: ∀h,o,G. b_c_transitive … (cpx h o G) (λ_.lpx h o G).
 #h #o #G #L2 #T1 #T2 #HT12 elim HT12 -G -L2 -T1 -T2
 [ /2 width=3 by/
 | /3 width=2 by cpx_cpxs, cpx_st/
@@ -115,8 +115,8 @@ lemma cpx_bind2: ∀h,o,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h, o] V2 →
 
 (* Advanced properties ******************************************************)
 
-lemma lpx_cpxs_trans: ∀h,o,G. c_rs_transitive … (cpx h o G) (λ_.lpx h o G).
-#h #o #G @c_r_trans_LTC1 /2 width=3 by lpx_cpx_trans/ (**) (* full auto fails *)
+lemma lpx_cpxs_trans: ∀h,o,G. b_rs_transitive … (cpx h o G) (λ_.lpx h o G).
+#h #o #G @b_c_trans_LTC1 /2 width=3 by lpx_cpx_trans/ (**) (* full auto fails *)
 qed-.
 
 lemma cpxs_bind2_dx: ∀h,o,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h, o] V2 →