renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / rdsx_rdsx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma
index efdf72af644c698fd13277c3da55829e33726c7c..2305aac191a7af8638f89bdda335ce7daa8c41ec 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lpx_lfdeq.ma".
+include "basic_2/rt_transition/lpx_rdeq.ma".
 include "basic_2/rt_computation/rdsx.ma".
 
 (* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
@@ -20,13 +20,13 @@ include "basic_2/rt_computation/rdsx.ma".
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_lleq_trans *)
-lemma rdsx_lfdeq_trans (h) (o) (G):
-                       ∀L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
-                       ∀L2. L1 ≛[h, o, T] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄.
+lemma rdsx_rdeq_trans (h) (o) (G):
+                      ∀L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
+                      ∀L2. L1 ≛[h, o, T] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄.
 #h #o #G #L1 #T #H @(rdsx_ind … H) -L1
 #L1 #_ #IHL1 #L2 #HL12 @rdsx_intro
-#L #HL2 #HnL2 elim (lfdeq_lpx_trans … HL2 … HL12) -HL2
-/4 width=5 by lfdeq_repl/
+#L #HL2 #HnL2 elim (rdeq_lpx_trans … HL2 … HL12) -HL2
+/4 width=5 by rdeq_repl/
 qed-.
 
 (* Basic_2A1: uses: lsx_lpx_trans *)
@@ -34,5 +34,5 @@ lemma rdsx_lpx_trans (h) (o) (G):
                      ∀L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
                      ∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄.
 #h #o #G #L1 #T #H @(rdsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
-elim (lfdeq_dec h o L1 L2 T) /3 width=4 by rdsx_lfdeq_trans/
+elim (rdeq_dec h o L1 L2 T) /3 width=4 by rdsx_rdeq_trans/
 qed-.