- ground_2: rtmap: disjointness relation

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / lex.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex.ma
index 72260e8018ecb2558e48ce4620df7eabdbf4549f..5c8b23e5598009ebe78015d87d2ddb04b0b932b1 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex.ma
@@ -12,14 +12,22 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "ground_2/relocation/rtmap_uni.ma".
 include "basic_2/notation/relations/relation_3.ma".
+include "basic_2/syntax/cext2.ma".
 include "basic_2/relocation/lexs.ma".
 
 (* GENERIC EXTENSION OF A CONTEXT-SENSITIVE REALTION ON TERMS ***************)
 
 (* Basic_2A1: includes: lpx_sn_atom lpx_sn_pair *)
-definition lex: (lenv → relation bind) → relation lenv ≝
-                λR,L1,L2. ∃∃f. 𝐈⦃f⦄ & L1 ⪤*[cfull, R, f] L2.
+definition lex: (lenv → relation term) → relation lenv ≝
+                λR,L1,L2. ∃∃f. 𝐈⦃f⦄ & L1 ⪤*[cfull, cext2 R, f] L2.
 
 interpretation "generic extension (local environment)"
    'Relation R L1 L2 = (lex R L1 L2).
+
+(* Basic properties *********************************************************)
+
+(* Basic_2A1: was: lpx_sn_refl *)
+lemma lex_refl: ∀R. c_reflexive … R → reflexive … (lex R).
+/4 width=3 by lexs_refl, ext2_refl, ex2_intro/ qed.