update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / path_proper.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma
index fca2eb91aae63a0d4f1b69d459df52cc54b98e05..9cab60b87950a5c132f82f4bbf1361a723d5e61c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_proper.ma
@@ -35,10 +35,23 @@ qed.
 
 (* Basic inversions ********************************************************)
 
+lemma ppc_inv_empty:
+      (𝐞) ϵ 𝐏 → ⊥.
+#H0 @H0 -H0 //
+qed-.
+
 lemma ppc_inv_lcons (p):
       p ϵ 𝐏 → ∃∃l,q. l◗q = p.
 *
-[ #H elim H -H //
+[ #H0 elim (ppc_inv_empty … H0)
 | #l #q #_ /2 width=3 by ex1_2_intro/
 ]
 qed-.
+
+lemma ppc_inv_rcons (p):
+      p ϵ 𝐏 → ∃∃q,l. q◖l = p.
+#p @(list_ind_rcons … p) -p
+[ #H0 elim (ppc_inv_empty … H0)
+| #q #l #_ #_ /2 width=3 by ex1_2_intro/
+]
+qed-.