X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Fterm_simple.ma;h=a32b352688a1863982fca23f4848448ac68e04c2;hb=c7b50fec51b9a25d5bc536f44e54179fd53efb44;hp=4bef6764dcdbb5675777f4628b198881b26afae2;hpb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/term_simple.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/term_simple.ma
index 4bef6764d..a32b35268 100644
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/term_simple.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/term_simple.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "ground_2/xoa/ex_1_4.ma".
 include "static_2/notation/relations/simple_1.ma".
 include "static_2/syntax/term.ma".
 
@@ -40,3 +41,11 @@ lemma simple_inv_pair: ∀I,V,T. 𝐒⦃②{I}V.T⦄ → ∃J. I = Flat2 J.
 * /2 width=2 by ex_intro/
 #p #I #V #T #H elim (simple_inv_bind … H)
 qed-.
+
+(* Basic properties *********************************************************)
+
+lemma simple_dec_ex (X): ∨∨ 𝐒⦃X⦄ | ∃∃p,I,T,U. X = ⓑ{p,I}T.U.
+* [ /2 width=1 by simple_atom, or_introl/ ]
+* [| /2 width=1 by simple_flat, or_introl/ ]
+/3 width=5 by ex1_4_intro, or_intror/
+qed-.