]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/multiple/llor_ldrop.ma
- some work on append
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / multiple / llor_ldrop.ma
index d8a4789b0ce7e6b71cc2e141d15d2320b6304d2e..f247442917f0a76e15a187fd94cbd78d7881926e 100644 (file)
@@ -19,4 +19,12 @@ include "basic_2/multiple/llor.ma".
 
 (* Advanced properties ******************************************************)
 
-axiom llor_total: ∀L1,L2,T. |L1| ≤ |L2| → ∃L. L1 ⩖[T] L2 ≡ L.
+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
+#I1 #I2 #I #K1 #K2 #K #W1 #W2 #W #i #HLK1 #_ #HLK -I2 -L2 -K2
+lapply (ldrop_mono … HLK … HLK1) -HLK #H destruct
+lapply (ldrop_fwd_length_lt2 … HLK1) -K1
+/5 width=3 by ylt_yle_trans, ylt_inj, or3_intro0, and3_intro/
+qed.
+
+axiom llor_total: ∀L1,L2,T,d. |L1| ≤ |L2| → ∃L. L1 ⩖[T, d] L2 ≡ L.