component "unfold" updated to new syntax ...

[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 1fc4ed7e6d3c3fb5357a53c326a94b9c7b71a125..c9a8dda93b129f344c428d284fe553f9cb55fe56 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
@@ -18,57 +18,57 @@ include "Basic_2/unfold/ltpss.ma".
 (* PARTIAL UNFOLD ON LOCAL ENVIRONMENTS *************************************)
 
 lemma ltpss_ldrop_conf_ge: ∀L0,L1,d1,e1. L0 [d1, e1] ≫* L1 →
-                          ∀L2,e2. ↓[0, e2] L0 ≡ L2 →
-                          d1 + e1 ≤ e2 → ↓[0, e2] L1 ≡ L2.
-#L0 #L1 #d1 #e1 #H @(ltpss_ind … H) -L1 /3 width=6/
+                           ∀L2,e2. ↓[0, e2] L0 ≡ L2 →
+                           d1 + e1 ≤ e2 → ↓[0, e2] L1 ≡ L2.
+#L0 #L1 #d1 #e1 #H @(ltpss_ind … H) -L1 // /3 width=6/
 qed.
 
 lemma ltpss_ldrop_trans_ge: ∀L1,L0,d1,e1. L1 [d1, e1] ≫* L0 →
-                           ∀L2,e2. ↓[0, e2] L0 ≡ L2 →
-                           d1 + e1 ≤ e2 → ↓[0, e2] L1 ≡ L2.
-#L1 #L0 #d1 #e1 #H @(ltpss_ind … H) -L0 /3 width=6/
+                            ∀L2,e2. ↓[0, e2] L0 ≡ L2 →
+                            d1 + e1 ≤ e2 → ↓[0, e2] L1 ≡ L2.
+#L1 #L0 #d1 #e1 #H @(ltpss_ind … H) -L0 // /3 width=6/
 qed.
 
 lemma ltpss_ldrop_conf_be: ∀L0,L1,d1,e1. L0 [d1, e1] ≫* L1 →
-                          ∀L2,e2. ↓[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
-                          ∃∃L. L2 [0, d1 + e1 - e2] ≫* L & ↓[0, e2] L1 ≡ L.
+                           ∀L2,e2. ↓[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
+                           ∃∃L. L2 [0, d1 + e1 - e2] ≫* L & ↓[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: ∀L1,L0,d1,e1. L1 [d1, e1] ≫* L0 →
-                           ∀L2,e2. ↓[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
-                           ∃∃L. L [0, d1 + e1 - e2] ≫* L2 & ↓[0, e2] L1 ≡ L.
+                            ∀L2,e2. ↓[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
+                            ∃∃L. L [0, d1 + e1 - e2] ≫* L2 & ↓[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: ∀L0,L1,d1,e1. L0 [d1, e1] ≫* L1 →
-                          ∀L2,e2. ↓[0, e2] L0 ≡ L2 → e2 ≤ d1 →
-                          ∃∃L. L2 [d1 - e2, e1] ≫* L & ↓[0, e2] L1 ≡ L.
+                           ∀L2,e2. ↓[0, e2] L0 ≡ L2 → e2 ≤ d1 →
+                           ∃∃L. L2 [d1 - e2, e1] ≫* L & ↓[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: ∀L1,L0,d1,e1. L1 [d1, e1] ≫* L0 →
-                           ∀L2,e2. ↓[0, e2] L0 ≡ L2 → e2 ≤ d1 →
-                           ∃∃L. L [d1 - e2, e1] ≫* L2 & ↓[0, e2] L1 ≡ L.
+                            ∀L2,e2. ↓[0, e2] L0 ≡ L2 → e2 ≤ d1 →
+                            ∃∃L. L [d1 - e2, e1] ≫* L2 & ↓[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.