milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_rdeq.ma
index de6114d2f75b64577c3ec71d8a402c96bcafdc92..a254d9751d0852495d289b5f9af3aa412b333bce 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_rdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_rdeq.ma
@@ -17,19 +17,19 @@ include "basic_2/rt_computation/csx_csx.ma".
 
 (* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
 
-(* Properties with degree-based equivalence for local environments **********)
+(* Properties with sort-irrelevant equivalence for local environments *******)
 
 (* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_rdeq_conf: ∀h,o,G,L1,T. ⦃G, L1⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ →
-                     ∀L2. L1 ≛[h, o, T] L2 → ⦃G, L2⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
-#h #o #G #L1 #T #H
+lemma csx_rdeq_conf: ∀h,G,L1,T. ⦃G, L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →
+                     ∀L2. L1 ≛[T] L2 → ⦃G, L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+#h #G #L1 #T #H
 @(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
 @csx_intro #T2 #HT12 #HnT12
 elim (rdeq_cpx_trans … HL12 … HT12) -HT12
-/5 width=4 by cpx_rdeq_conf_sn, csx_tdeq_trans, tdeq_trans/
+/5 width=5 by cpx_rdeq_conf_sn, csx_tdeq_trans, tdeq_trans/
 qed-.
 
 (* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_rdeq_trans: ∀h,o,L1,L2,T. L1 ≛[h, o, T] L2 →
-                      ∀G. ⦃G, L2⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L1⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
+lemma csx_rdeq_trans: ∀h,L1,L2,T. L1 ≛[T] L2 →
+                      ∀G. ⦃G, L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G, L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
 /3 width=3 by csx_rdeq_conf, rdeq_sym/ qed-.