- notation fix for reducible and normal forms

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / unfold / ltpss_ldrop.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ldrop.ma b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ldrop.ma
index 14d529db8ebee5a86a09f25c7be412976acb5fe5..b52cedae7698c826d1f7770b99574a408e9f5a50 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ldrop.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ldrop.ma
@@ -17,58 +17,58 @@ include "Basic_2/unfold/ltpss.ma".
 
 (* PARTIAL UNFOLD ON LOCAL ENVIRONMENTS *************************************)
 
-lemma ltpss_ldrop_conf_ge: â\88\80L0,L1,d1,e1. L0 [d1, e1] â\89«* L1 →
-                           â\88\80L2,e2. â\86\93[0, e2] L0 ≡ L2 →
-                           d1 + e1 â\89¤ e2 â\86\92 â\86\93[0, e2] L1 ≡ L2.
-#L0 #L1 #d1 #e1 #H @(ltpss_ind … H) -L1 /3 width=6/
+lemma ltpss_ldrop_conf_ge: â\88\80L0,L1,d1,e1. L0 [d1, e1] â\96¶* L1 →
+                           â\88\80L2,e2. â\87©[0, e2] L0 ≡ L2 →
+                           d1 + e1 â\89¤ e2 â\86\92 â\87©[0, e2] L1 ≡ L2.
+#L0 #L1 #d1 #e1 #H @(ltpss_ind … H) -L1 // /3 width=6/
 qed.
 
-lemma ltpss_ldrop_trans_ge: â\88\80L1,L0,d1,e1. L1 [d1, e1] â\89«* L0 →
-                            â\88\80L2,e2. â\86\93[0, e2] L0 ≡ L2 →
-                            d1 + e1 â\89¤ e2 â\86\92 â\86\93[0, e2] L1 ≡ L2.
-#L1 #L0 #d1 #e1 #H @(ltpss_ind … H) -L0 /3 width=6/
+lemma ltpss_ldrop_trans_ge: â\88\80L1,L0,d1,e1. L1 [d1, e1] â\96¶* L0 →
+                            â\88\80L2,e2. â\87©[0, e2] L0 ≡ L2 →
+                            d1 + e1 â\89¤ e2 â\86\92 â\87©[0, e2] L1 ≡ L2.
+#L1 #L0 #d1 #e1 #H @(ltpss_ind … H) -L0 // /3 width=6/
 qed.
 
-lemma ltpss_ldrop_conf_be: â\88\80L0,L1,d1,e1. L0 [d1, e1] â\89«* L1 →
-                           â\88\80L2,e2. â\86\93[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
-                           â\88\83â\88\83L. L2 [0, d1 + e1 - e2] â\89«* L & â\86\93[0, e2] L1 ≡ L.
+lemma ltpss_ldrop_conf_be: â\88\80L0,L1,d1,e1. L0 [d1, e1] â\96¶* L1 →
+                           â\88\80L2,e2. â\87©[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
+                           â\88\83â\88\83L. L2 [0, d1 + e1 - e2] â\96¶* L & â\87©[0, e2] L1 ≡ L.
 #L0 #L1 #d1 #e1 #H @(ltpss_ind … H) -L1
-[ /2/
+[ /2 width=3/
 | #L #L1 #_ #HL1 #IHL #L2 #e2 #HL02 #Hd1e2 #He2de1
   elim (IHL … HL02 Hd1e2 He2de1) -L0 #L0 #HL20 #HL0
-  elim (ltps_ldrop_conf_be … HL1 … HL0 Hd1e2 He2de1) -L /3/
+  elim (ltps_ldrop_conf_be … HL1 … HL0 Hd1e2 He2de1) -L /3 width=3/
 ]
 qed.
 
-lemma ltpss_ldrop_trans_be: â\88\80L1,L0,d1,e1. L1 [d1, e1] â\89«* L0 →
-                            â\88\80L2,e2. â\86\93[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
-                            â\88\83â\88\83L. L [0, d1 + e1 - e2] â\89«* L2 & â\86\93[0, e2] L1 ≡ L.
+lemma ltpss_ldrop_trans_be: â\88\80L1,L0,d1,e1. L1 [d1, e1] â\96¶* L0 →
+                            â\88\80L2,e2. â\87©[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
+                            â\88\83â\88\83L. L [0, d1 + e1 - e2] â\96¶* L2 & â\87©[0, e2] L1 ≡ L.
 #L1 #L0 #d1 #e1 #H @(ltpss_ind … H) -L0
-[ /2/
+[ /2 width=3/
 | #L #L0 #_ #HL0 #IHL #L2 #e2 #HL02 #Hd1e2 #He2de1
   elim (ltps_ldrop_trans_be … HL0 … HL02 Hd1e2 He2de1) -L0 #L0 #HL02 #HL0
-  elim (IHL … HL0 Hd1e2 He2de1) -L /3/
+  elim (IHL … HL0 Hd1e2 He2de1) -L /3 width=3/
 ]
 qed.
 
-lemma ltpss_ldrop_conf_le: â\88\80L0,L1,d1,e1. L0 [d1, e1] â\89«* L1 →
-                           â\88\80L2,e2. â\86\93[0, e2] L0 ≡ L2 → e2 ≤ d1 →
-                           â\88\83â\88\83L. L2 [d1 - e2, e1] â\89«* L & â\86\93[0, e2] L1 ≡ L.
+lemma ltpss_ldrop_conf_le: â\88\80L0,L1,d1,e1. L0 [d1, e1] â\96¶* L1 →
+                           â\88\80L2,e2. â\87©[0, e2] L0 ≡ L2 → e2 ≤ d1 →
+                           â\88\83â\88\83L. L2 [d1 - e2, e1] â\96¶* L & â\87©[0, e2] L1 ≡ L.
 #L0 #L1 #d1 #e1 #H @(ltpss_ind … H) -L1
-[ /2/
+[ /2 width=3/
 | #L #L1 #_ #HL1 #IHL #L2 #e2 #HL02 #He2d1
   elim (IHL … HL02 He2d1) -L0 #L0 #HL20 #HL0
-  elim (ltps_ldrop_conf_le … HL1 … HL0 He2d1) -L /3/
+  elim (ltps_ldrop_conf_le … HL1 … HL0 He2d1) -L /3 width=3/
 ]
 qed.
 
-lemma ltpss_ldrop_trans_le: â\88\80L1,L0,d1,e1. L1 [d1, e1] â\89«* L0 →
-                            â\88\80L2,e2. â\86\93[0, e2] L0 ≡ L2 → e2 ≤ d1 →
-                            â\88\83â\88\83L. L [d1 - e2, e1] â\89«* L2 & â\86\93[0, e2] L1 ≡ L.
+lemma ltpss_ldrop_trans_le: â\88\80L1,L0,d1,e1. L1 [d1, e1] â\96¶* L0 →
+                            â\88\80L2,e2. â\87©[0, e2] L0 ≡ L2 → e2 ≤ d1 →
+                            â\88\83â\88\83L. L [d1 - e2, e1] â\96¶* L2 & â\87©[0, e2] L1 ≡ L.
 #L1 #L0 #d1 #e1 #H @(ltpss_ind … H) -L0
-[ /2/
+[ /2 width=3/
 | #L #L0 #_ #HL0 #IHL #L2 #e2 #HL02 #He2d1
   elim (ltps_ldrop_trans_le … HL0 … HL02 He2d1) -L0 #L0 #HL02 #HL0
-  elim (IHL … HL0 He2d1) -L /3/
+  elim (IHL … HL0 He2d1) -L /3 width=3/
 ]
 qed.