X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcpx_lleq.ma;h=507aaef29241b6463ce331c7c4b3b90e2c45b354;hb=7a25b8fcba2436a75556db1725c6e1be78a9faca;hp=c36dd0fb411c95a81402b9fb5717a3dcdb53511b;hpb=6aab24b40d5d09561375959043ecd85c8b428d85;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
index c36dd0fb4..507aaef29 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
@@ -20,7 +20,7 @@ include "basic_2/reduction/cpx_llpx_sn.ma".
 (* Properties on lazy equivalence for local environments ********************)
 
 lemma lleq_cpx_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
-                      ∀L1. L1 ⋕[T1, 0] L2 → ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2.
+                      ∀L1. L1 ≡[T1, 0] L2 → ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2.
 #h #g #G #L2 #T1 #T2 #H elim H -G -L2 -T1 -T2 /2 width=2 by cpx_st/
 [ #I #G #L2 #K2 #V1 #V2 #W2 #i #HLK2 #_ #HVW2 #IHV12 #L1 #H elim (lleq_fwd_lref_dx … H … HLK2) -L2
   [ #H elim (ylt_yle_false … H) //
@@ -44,12 +44,12 @@ lemma lleq_cpx_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
 qed-.
 
 lemma cpx_lleq_conf: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
-                     ∀L1. L2 ⋕[T1, 0] L1 → ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2.
+                     ∀L1. L2 ≡[T1, 0] L1 → ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2.
 /3 width=3 by lleq_cpx_trans, lleq_sym/ qed-.
 
 lemma cpx_lleq_conf_sn: ∀h,g,G. s_r_confluent1 … (cpx h g G) (lleq 0).
 /3 width=6 by cpx_llpx_sn_conf, lift_mono, ex2_intro/ qed-.
 
 lemma cpx_lleq_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
-                        ∀L1. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
+                        ∀L1. L1 ≡[T1, 0] L2 → L1 ≡[T2, 0] L2.
 /4 width=6 by cpx_lleq_conf_sn, lleq_sym/ qed-.