\lambda\delta version 2A released on Web site

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / multiple / lleq_llor.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_llor.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_llor.ma
index 253cb294abf924916fd8eef92cfca6072ae96e74..06893aad6a268b269ac56965da4e6cda1ce640a9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_llor.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_llor.ma
@@ -18,17 +18,17 @@ include "basic_2/multiple/lleq_alt.ma".
 
 (* LAZY EQUIVALENCE FOR LOCAL ENVIRONMENTS **********************************)
 
-(* Properties on poinwise union for local environments **********************)
+(* Properties on pointwise union for local environments **********************)
 
 lemma llpx_sn_llor_dx: ∀R. (s_r_confluent1 … R (llpx_sn R 0)) → (frees_trans R) →
-                       ∀L1,L2,T,d. llpx_sn R d T L1 L2 → ∀L. L1 ⩖[T, d] L2 ≡ L → L2 ≡[T, d] L.
-#R #H1R #H2R #L1 #L2 #T #d #H1 #L #H2
+                       ∀L1,L2,T,l. llpx_sn R l T L1 L2 → ∀L. L1 ⋓[T, l] L2 ≡ L → L2 ≡[T, l] L.
+#R #H1R #H2R #L1 #L2 #T #l #H1 #L #H2
 lapply (llpx_sn_frees_trans … H1R H2R … H1) -H1R -H2R #HR
 elim (llpx_sn_llpx_sn_alt … H1) -H1 #HL12 #IH1
 elim H2 -H2 #_ #HL1 #IH2
 @lleq_intro_alt // #I2 #I #K2 #K #V2 #V #i #Hi #HnT #HLK2 #HLK
-lapply (ldrop_fwd_length_lt2 … HLK) #HiL
-elim (ldrop_O1_lt (Ⓕ) L1 i) // -HiL #I1 #K1 #V1 #HLK1
+lapply (drop_fwd_length_lt2 … HLK) #HiL
+elim (drop_O1_lt (Ⓕ) L1 i) // -HiL #I1 #K1 #V1 #HLK1
 elim (IH1 … HLK1 HLK2) -IH1 /2 width=1 by/ #H #_ destruct
 elim (IH2 … HLK1 HLK2 HLK) -IH2 -HLK1 -HLK2 -HLK * /2 width=1 by conj/ #H
 [ elim (ylt_yle_false … H) -H //
@@ -37,5 +37,5 @@ elim (IH2 … HLK1 HLK2 HLK) -IH2 -HLK1 -HLK2 -HLK * /2 width=1 by conj/ #H
 qed.
 
 lemma llpx_sn_llor_dx_sym: ∀R. (s_r_confluent1 … R (llpx_sn R 0)) → (frees_trans R) →
-                           ∀L1,L2,T,d. llpx_sn R d T L1 L2 → ∀L. L1 ⩖[T, d] L2 ≡ L → L ≡[T, d] L2.
+                           ∀L1,L2,T,l. llpx_sn R l T L1 L2 → ∀L. L1 ⋓[T, l] L2 ≡ L → L ≡[T, l] L2.
 /3 width=6 by llpx_sn_llor_dx, lleq_sym/ qed.