- some renaming according to the written version of basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/llor_drop.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/llor_drop.ma
index 8692a91f19299124b385be139c1593ab4776dab4..cbeab4a596f179d8bac1adc5823c96b44d2cab92 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/multiple/llor_drop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/llor_drop.ma
@@ -19,8 +19,8 @@ include "basic_2/multiple/llor_alt.ma".
 
 (* Advanced properties ******************************************************)
 
-lemma llor_skip: ∀L1,L2,U,d. |L1| = |L2| → yinj (|L1|) ≤ d → L1 ⋓[U, d] L2 ≡ L1.
-#L1 #L2 #U #d #HL12 #Hd @and3_intro // -HL12
+lemma llor_skip: ∀L1,L2,U,l. |L1| = |L2| → yinj (|L1|) ≤ l → L1 ⋓[U, l] L2 ≡ L1.
+#L1 #L2 #U #l #HL12 #Hl @and3_intro // -HL12
 #I1 #I2 #I #K1 #K2 #K #W1 #W2 #W #i #HLK1 #_ #HLK -L2 -K2
 lapply (drop_mono … HLK … HLK1) -HLK #H destruct
 lapply (drop_fwd_length_lt2 … HLK1) -K1
@@ -28,14 +28,14 @@ lapply (drop_fwd_length_lt2 … HLK1) -K1
 qed.
 
 (* Note: lemma 1400 concludes the "big tree" theorem *)
-lemma llor_total: ∀L1,L2,T,d. |L1| = |L2| → ∃L. L1 ⋓[T, d] L2 ≡ L.
+lemma llor_total: ∀L1,L2,T,l. |L1| = |L2| → ∃L. L1 ⋓[T, l] L2 ≡ L.
 #L1 @(lenv_ind_alt … L1) -L1
-[ #L2 #T #d #H >(length_inv_zero_sn … H) -L2 /2 width=2 by ex_intro/
-| #I1 #L1 #V1 #IHL1 #Y #T #d >ltail_length #H
+[ #L2 #T #l #H >(length_inv_zero_sn … H) -L2 /2 width=2 by ex_intro/
+| #I1 #L1 #V1 #IHL1 #Y #T #l >ltail_length #H
   elim (length_inv_pos_sn_ltail … H) -H #I2 #L2 #V2 #HL12 #H destruct
-  elim (ylt_split d (|ⓑ{I1}V1.L1|))
-  [ elim (frees_dec (ⓑ{I1}V1.L1) T d (|L1|)) #HnU
-    elim (IHL1 L2 T d) // -IHL1 -HL12
+  elim (ylt_split l (|ⓑ{I1}V1.L1|))
+  [ elim (frees_dec (ⓑ{I1}V1.L1) T l (|L1|)) #HnU
+    elim (IHL1 L2 T l) // -IHL1 -HL12
     [ #L #HL12 >ltail_length /4 width=2 by llor_tail_frees, ylt_fwd_succ2, ex_intro/ 
     | /4 width=2 by llor_tail_cofrees, ex_intro/
     ]