X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsyntax%2Fprototerm_constructors.ma;h=35a79b0399624d79444c8ba3243003e8b1eb5cb6;hb=80ecd5486c6013f6c297173f41432fd1d93814ef;hp=fd86ef975a39b862aaf05ac99dc5efd298fb10ed;hpb=8d8863982ca95225551e9659ed431db046c34e81;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma
index fd86ef975..35a79b039 100644
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma
@@ -55,8 +55,21 @@ interpretation
   "application (prototerm)"
   'At u t = (prototerm_node_2 label_S label_A u t).
 
+(* Basic constructions *******************************************************)
+
+lemma in_comp_iref (t) (q) (n):
+      q ϵ t → 𝗱n◗𝗺◗q ϵ 𝛗n.t.
+/2 width=3 by ex2_intro/ qed.
+
 (* Basic Inversions *********************************************************)
 
+lemma in_comp_inv_iref (t) (p) (n):
+      p ϵ 𝛗n.t →
+      ∃∃q. 𝗱n◗𝗺◗q = p & q ϵ t.
+#t #p #n * #q #Hq #Hp
+/2 width=3 by ex2_intro/
+qed-.
+(*
 lemma prototerm_in_root_inv_lcons_oref:
       ∀p,l,n. l◗p ϵ ▵#n →
       ∧∧ 𝗱n = l & 𝐞 = p.
@@ -98,3 +111,4 @@ lemma prototerm_in_root_inv_lcons_appl:
 <list_append_lcons_sn #H0 destruct
 /4 width=2 by ex_intro, or_introl, or_intror, conj/
 qed-.
+*)