milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_rdeq.ma
index 583214a04bcfde350ceccfb0c27c7813b22ad00d..26fd8c1292ca522bc971b5c4db27b4ecb28766b2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_rdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_rdeq.ma
@@ -18,13 +18,13 @@ include "basic_2/rt_transition/rpx_lpx.ma".
 
 (* UNBOUND PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS ***************)
 
-(* Properties with degree-based equivalence for local environments **********)
+(* Properties with sort-irrelevant equivalence for local environments *******)
 
 (* Basic_2A1: uses: lleq_lpx_trans *)
-lemma rdeq_lpx_trans (h) (o) (G): ∀L2,K2. ⦃G, L2⦄ ⊢ ⬈[h] K2 →
-                                  ∀L1. ∀T:term. L1 ≛[h, o, T] L2 →
-                                  ∃∃K1. ⦃G, L1⦄ ⊢ ⬈[h] K1 & K1 ≛[h, o, T] K2.
-#h #o #G #L2 #K2 #HLK2 #L1 #T #HL12
+lemma rdeq_lpx_trans (h) (G): ∀L2,K2. ⦃G, L2⦄ ⊢ ⬈[h] K2 →
+                              ∀L1. ∀T:term. L1 ≛[T] L2 →
+                              ∃∃K1. ⦃G, L1⦄ ⊢ ⬈[h] K1 & K1 ≛[T] K2.
+#h #G #L2 #K2 #HLK2 #L1 #T #HL12
 lapply (lpx_rpx … T HLK2) -HLK2 #HLK2
 elim (rdeq_rpx_trans … HLK2 … HL12) -L2 #K #H #HK2
 elim (rpx_inv_lpx_req … H) -H #K1 #HLK1 #HK1