- support for candidates of reducibility continues ...

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / substitution / ltps_ldrop.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/substitution/ltps_ldrop.ma b/matita/matita/contribs/lambda_delta/Basic_2/substitution/ltps_ldrop.ma
index f777d1cd77c1111797a04a7e4db84915e725d19f..11745b425933c707eeeea6025c9bcc28b3be2ef8 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/substitution/ltps_ldrop.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/substitution/ltps_ldrop.ma
@@ -17,8 +17,8 @@ include "Basic_2/substitution/ltps.ma".
 (* PARALLEL SUBSTITUTION ON LOCAL ENVIRONMENTS ******************************)
 
 lemma ltps_ldrop_conf_ge: ∀L0,L1,d1,e1. L0 [d1, e1] ≫ L1 →
-                          â\88\80L2,e2. â\86\93[0, e2] L0 â\89¡ L2 â\86\92
-                          d1 + e1 â\89¤ e2 â\86\92 â\86\93[0, e2] L1 â\89¡ L2.
+                          â\88\80L2,e2. â\87\93[0, e2] L0 â\89¡ L2 â\86\92
+                          d1 + e1 â\89¤ e2 â\86\92 â\87\93[0, e2] L1 â\89¡ L2.
 #L0 #L1 #d1 #e1 #H elim H -L0 -L1 -d1 -e1
 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H //
 | //
@@ -34,8 +34,8 @@ lemma ltps_ldrop_conf_ge: ∀L0,L1,d1,e1. L0 [d1, e1] ≫ L1 →
 qed.
 
 lemma ltps_ldrop_trans_ge: ∀L1,L0,d1,e1. L1 [d1, e1] ≫ L0 →
-                           â\88\80L2,e2. â\86\93[0, e2] L0 â\89¡ L2 â\86\92
-                           d1 + e1 â\89¤ e2 â\86\92 â\86\93[0, e2] L1 â\89¡ L2.
+                           â\88\80L2,e2. â\87\93[0, e2] L0 â\89¡ L2 â\86\92
+                           d1 + e1 â\89¤ e2 â\86\92 â\87\93[0, e2] L1 â\89¡ L2.
 #L1 #L0 #d1 #e1 #H elim H -L1 -L0 -d1 -e1
 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H //
 | //
@@ -51,8 +51,8 @@ lemma ltps_ldrop_trans_ge: ∀L1,L0,d1,e1. L1 [d1, e1] ≫ L0 →
 qed.
 
 lemma ltps_ldrop_conf_be: ∀L0,L1,d1,e1. L0 [d1, e1] ≫ L1 →
-                          â\88\80L2,e2. â\86\93[0, e2] L0 â\89¡ L2 â\86\92 d1 â\89¤ e2 â\86\92 e2 â\89¤ d1 + e1 â\86\92
-                          â\88\83â\88\83L. L2 [0, d1 + e1 - e2] â\89« L & â\86\93[0, e2] L1 â\89¡ L.
+                          â\88\80L2,e2. â\87\93[0, e2] L0 â\89¡ L2 â\86\92 d1 â\89¤ e2 â\86\92 e2 â\89¤ d1 + e1 â\86\92
+                          â\88\83â\88\83L. L2 [0, d1 + e1 - e2] â\89« L & â\87\93[0, e2] L1 â\89¡ L.
 #L0 #L1 #d1 #e1 #H elim H -L0 -L1 -d1 -e1
 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/
 | normalize #L #I #V #L2 #e2 #HL2 #_ #He2
@@ -73,8 +73,8 @@ lemma ltps_ldrop_conf_be: ∀L0,L1,d1,e1. L0 [d1, e1] ≫ L1 →
 qed.
 
 lemma ltps_ldrop_trans_be: ∀L1,L0,d1,e1. L1 [d1, e1] ≫ L0 →
-                           â\88\80L2,e2. â\86\93[0, e2] L0 â\89¡ L2 â\86\92 d1 â\89¤ e2 â\86\92 e2 â\89¤ d1 + e1 â\86\92
-                           â\88\83â\88\83L. L [0, d1 + e1 - e2] â\89« L2 & â\86\93[0, e2] L1 â\89¡ L.
+                           â\88\80L2,e2. â\87\93[0, e2] L0 â\89¡ L2 â\86\92 d1 â\89¤ e2 â\86\92 e2 â\89¤ d1 + e1 â\86\92
+                           â\88\83â\88\83L. L [0, d1 + e1 - e2] â\89« L2 & â\87\93[0, e2] L1 â\89¡ L.
 #L1 #L0 #d1 #e1 #H elim H -L1 -L0 -d1 -e1
 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/
 | normalize #L #I #V #L2 #e2 #HL2 #_ #He2
@@ -95,8 +95,8 @@ lemma ltps_ldrop_trans_be: ∀L1,L0,d1,e1. L1 [d1, e1] ≫ L0 →
 qed.
 
 lemma ltps_ldrop_conf_le: ∀L0,L1,d1,e1. L0 [d1, e1] ≫ L1 →
-                          â\88\80L2,e2. â\86\93[0, e2] L0 â\89¡ L2 â\86\92 e2 â\89¤ d1 â\86\92
-                          â\88\83â\88\83L. L2 [d1 - e2, e1] â\89« L & â\86\93[0, e2] L1 â\89¡ L.
+                          â\88\80L2,e2. â\87\93[0, e2] L0 â\89¡ L2 â\86\92 e2 â\89¤ d1 â\86\92
+                          â\88\83â\88\83L. L2 [d1 - e2, e1] â\89« L & â\87\93[0, e2] L1 â\89¡ L.
 #L0 #L1 #d1 #e1 #H elim H -L0 -L1 -d1 -e1
 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/
 | /2 width=3/
@@ -113,8 +113,8 @@ lemma ltps_ldrop_conf_le: ∀L0,L1,d1,e1. L0 [d1, e1] ≫ L1 →
 qed.
 
 lemma ltps_ldrop_trans_le: ∀L1,L0,d1,e1. L1 [d1, e1] ≫ L0 →
-                           â\88\80L2,e2. â\86\93[0, e2] L0 â\89¡ L2 â\86\92 e2 â\89¤ d1 â\86\92
-                           â\88\83â\88\83L. L [d1 - e2, e1] â\89« L2 & â\86\93[0, e2] L1 â\89¡ L.
+                           â\88\80L2,e2. â\87\93[0, e2] L0 â\89¡ L2 â\86\92 e2 â\89¤ d1 â\86\92
+                           â\88\83â\88\83L. L [d1 - e2, e1] â\89« L2 & â\87\93[0, e2] L1 â\89¡ L.
 #L1 #L0 #d1 #e1 #H elim H -L1 -L0 -d1 -e1
 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/
 | /2 width=3/