more additions and corrections for the article

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / rex_lex.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rex_lex.ma b/matita/matita/contribs/lambdadelta/static_2/static/rex_lex.ma
index d031d93c40aefb5dc4d595e70cc67f99c3a764e6..dd074c1c4014d02ac83238b370507274630d2f87 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/rex_lex.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rex_lex.ma
@@ -20,7 +20,8 @@ include "static_2/static/req.ma".
 
 (* Properties with generic extension of a context-sensitive relation ********)
 
-lemma rex_lex: ∀R,L1,L2. L1 ⪤[R] L2 → ∀T. L1 ⪤[R,T] L2.
+lemma rex_lex (R):
+      ∀L1,L2. L1 ⪤[R] L2 → ∀T. L1 ⪤[R,T] L2.
 #R #L1 #L2 * #f #Hf #HL12 #T
 elim (frees_total L1 T) #g #Hg
 /4 width=5 by sex_sdj, sdj_isid_sn, ex2_intro/
@@ -28,10 +29,10 @@ qed.
 
 (* Inversion lemmas with generic extension of a context sensitive relation **)
 
-lemma rex_inv_lex_req: ∀R. c_reflexive … R →
-                       rex_fsge_compatible R →
-                       ∀L1,L2,T. L1 ⪤[R,T] L2 →
-                       ∃∃L. L1 ⪤[R] L & L ≡[T] L2.
+lemma rex_inv_lex_req (R):
+      c_reflexive … R → rex_fsge_compatible R →
+      ∀L1,L2,T. L1 ⪤[R,T] L2 →
+      ∃∃L. L1 ⪤[R] L & L ≡[T] L2.
 #R #H1R #H2R #L1 #L2 #T * #f1 #Hf1 #HL
 elim (sex_sdj_split … ceq_ext … HL 𝐈𝐝 ?) -HL
 [ #L0 #HL10 #HL02 |*: /2 width=1 by ext2_refl, sdj_isid_dx/ ] -H1R