X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flexs_lexs.ma;h=753b43b2efdc671f3325d2d7228734e7e685d0c0;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=c1f10efbf8f4a4bd00e77bdc00d0f6c6e1ffb63d;hpb=75f395f0febd02de8e0f881d918a8812b1425c8d;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma
index c1f10efbf..753b43b2e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma
@@ -21,8 +21,8 @@ include "basic_2/relocation/drops.ma".
 
 theorem lexs_trans_gen (RN1) (RP1) (RN2) (RP2) (RN) (RP):
                        ∀L1,f.
-                       (∀g,I,K,n. ⬇*[n] L1 ≘ K.ⓘ{I} → ⫯g = ⫱*[n] f → lexs_transitive RN1 RN2 RN RN1 RP1 g K I) →
-                       (∀g,I,K,n. ⬇*[n] L1 ≘ K.ⓘ{I} → ↑g = ⫱*[n] f → lexs_transitive RP1 RP2 RP RN1 RP1 g K I) →
+                       (∀g,I,K,n. ⬇*[n] L1 ≘ K.ⓘ{I} → ↑g = ⫱*[n] f → lexs_transitive RN1 RN2 RN RN1 RP1 g K I) →
+                       (∀g,I,K,n. ⬇*[n] L1 ≘ K.ⓘ{I} → ⫯g = ⫱*[n] f → lexs_transitive RP1 RP2 RP RN1 RP1 g K I) →
                        ∀L0. L1 ⪤*[RN1, RP1, f] L0 →
                        ∀L2. L0 ⪤*[RN2, RP2, f] L2 →
                        L1 ⪤*[RN, RP, f] L2.
@@ -45,14 +45,13 @@ theorem lexs_trans_gen (RN1) (RP1) (RN2) (RP2) (RN) (RP):
 ]
 qed-.
 
-(* Basic_2A1: includes: lpx_sn_trans *)
 theorem lexs_trans (RN) (RP) (f): (∀g,I,K. lexs_transitive RN RN RN RN RP g K I) →
                                   (∀g,I,K. lexs_transitive RP RP RP RN RP g K I) →
                                   Transitive … (lexs RN RP f).
 /2 width=9 by lexs_trans_gen/ qed-.
 
 theorem lexs_trans_id_cfull: ∀R1,R2,R3,L1,L,f. L1 ⪤*[R1, cfull, f] L → 𝐈⦃f⦄ →
-                             ∀L2.  L ⪤*[R2, cfull, f] L2 → L1 ⪤*[R3, cfull, f] L2.
+                             ∀L2. L ⪤*[R2, cfull, f] L2 → L1 ⪤*[R3, cfull, f] L2.
 #R1 #R2 #R3 #L1 #L #f #H elim H -L1 -L -f
 [ #f #Hf #L2 #H >(lexs_inv_atom1 … H) -L2 // ]
 #f #I1 #I #K1 #K #HK1 #_ #IH #Hf #L2 #H
@@ -61,11 +60,10 @@ elim (lexs_inv_push1 … H) -H #I2 #K2 #HK2 #_ #H destruct
 /3 width=1 by lexs_push/
 qed-.
 
-(* Basic_2A1: includes: lpx_sn_conf *)
 theorem lexs_conf (RN1) (RP1) (RN2) (RP2):
                   ∀L,f.
-                  (∀g,I,K,n. ⬇*[n] L ≘ K.ⓘ{I} → ⫯g = ⫱*[n] f → R_pw_confluent2_lexs RN1 RN2 RN1 RP1 RN2 RP2 g K I) →
-                  (∀g,I,K,n. ⬇*[n] L ≘ K.ⓘ{I} → ↑g = ⫱*[n] f → R_pw_confluent2_lexs RP1 RP2 RN1 RP1 RN2 RP2 g K I) →
+                  (∀g,I,K,n. ⬇*[n] L ≘ K.ⓘ{I} → ↑g = ⫱*[n] f → R_pw_confluent2_lexs RN1 RN2 RN1 RP1 RN2 RP2 g K I) →
+                  (∀g,I,K,n. ⬇*[n] L ≘ K.ⓘ{I} → ⫯g = ⫱*[n] f → R_pw_confluent2_lexs RP1 RP2 RN1 RP1 RN2 RP2 g K I) →
                   pw_confluent2 … (lexs RN1 RP1 f) (lexs RN2 RP2 f) L.
 #RN1 #RP1 #RN2 #RP2 #L elim L -L
 [ #f #_ #_ #L1 #H1 #L2 #H2 >(lexs_inv_atom1 … H1) >(lexs_inv_atom1 … H2) -H2 -H1