- some renaming according to the written version of basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_frees.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_frees.ma
index fdb31ffc5e71f0a01ff56c2db106752d7c2eb40d..81eff3bda63afeb13d2b2d984403dec7badcf0e8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_frees.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_frees.ma
@@ -20,10 +20,10 @@ include "basic_2/multiple/llpx_sn_alt_rec.ma".
 (* Properties on context-sensitive free variables ***************************)
 
 fact llpx_sn_frees_trans_aux: ∀R. (s_r_confluent1 … R (llpx_sn R 0)) → (frees_trans R) →
-                              ∀L2,U,d,i. L2 ⊢ i ϵ 𝐅*[d]⦃U⦄ →
-                              ∀L1. llpx_sn R d U L1 L2 → L1 ⊢ i ϵ 𝐅*[d]⦃U⦄.
-#R #H1R #H2R #L2 #U #d #i #H elim H -L2 -U -d -i /3 width=2 by frees_eq/
-#I2 #L2 #K2 #U #W2 #d #i #j #Hdj #Hji #HnU #HLK2 #_ #IHW2 #L1 #HL12
+                              ∀L2,U,l,i. L2 ⊢ i ϵ 𝐅*[l]⦃U⦄ →
+                              ∀L1. llpx_sn R l U L1 L2 → L1 ⊢ i ϵ 𝐅*[l]⦃U⦄.
+#R #H1R #H2R #L2 #U #l #i #H elim H -L2 -U -l -i /3 width=2 by frees_eq/
+#I2 #L2 #K2 #U #W2 #l #i #j #Hlj #Hji #HnU #HLK2 #_ #IHW2 #L1 #HL12
 elim (llpx_sn_inv_alt_r … HL12) -HL12 #HL12 #IH
 lapply (drop_fwd_length_lt2 … HLK2) #Hj
 elim (drop_O1_lt (Ⓕ) L1 j) // -Hj -HL12 #I1 #K1 #W1 #HLK1
@@ -31,6 +31,6 @@ elim (IH … HnU HLK1 HLK2) // -IH -HLK2 /5 width=11 by frees_be/
 qed-.
 
 lemma llpx_sn_frees_trans: ∀R. (s_r_confluent1 … R (llpx_sn R 0)) → (frees_trans R) →
-                           ∀L1,L2,U,d. llpx_sn R d U L1 L2 →
-                           ∀i. L2 ⊢ i ϵ 𝐅*[d]⦃U⦄ → L1 ⊢ i ϵ 𝐅*[d]⦃U⦄.
+                           ∀L1,L2,U,l. llpx_sn R l U L1 L2 →
+                           ∀i. L2 ⊢ i ϵ 𝐅*[l]⦃U⦄ → L1 ⊢ i ϵ 𝐅*[l]⦃U⦄.
 /2 width=6 by llpx_sn_frees_trans_aux/ qed-.