- transitivity of lenv refinement for atomic arity asignment proved! ...

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

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma
index 9a023056df89054b48f1319c4878230ad8d9ea87..7091e0803572742e7386163fe4cecec67668cbbb 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma
@@ -19,37 +19,37 @@ include "Basic_2/unfold/ltpss_tpss.ma".
 (* Main properties **********************************************************)
 
 theorem ltpss_trans_eq: ∀L1,L,L2,d,e.
-                        L1 [d, e] â\89«* L â\86\92 L [d, e] â\89«* L2 â\86\92 L1 [d, e] â\89«* L2. 
-/2/ qed.
+                        L1 [d, e] â\96¶* L â\86\92 L [d, e] â\96¶* L2 â\86\92 L1 [d, e] â\96¶* L2. 
+/2 width=3/ qed.
 
 lemma ltpss_tpss2: ∀L1,L2,I,V1,V2,e.
-                   L1 [0, e] â\89«* L2 â\86\92 L2 â\8a¢ V1 [0, e] â\89«* V2 →
-                   L1. 𝕓{I} V1 [0, e + 1] ≫* L2. 𝕓{I} V2.
+                   L1 [0, e] â\96¶* L2 â\86\92 L2 â\8a¢ V1 [0, e] â\96¶* V2 →
+                   L1. ⓑ{I} V1 [0, e + 1] ▶* L2. ⓑ{I} V2.
 #L1 #L2 #I #V1 #V2 #e #HL12 #H @(tpss_ind … H) -V2
-[ /2/
-| #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2/
+[ /2 width=1/
+| #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2 width=1/
 ]
 qed.
 
 lemma ltpss_tpss2_lt: ∀L1,L2,I,V1,V2,e.
-                      L1 [0, e - 1] â\89«* L2 â\86\92 L2 â\8a¢ V1 [0, e - 1] â\89«* V2 →
-                      0 < e → L1. 𝕓{I} V1 [0, e] ≫* L2. 𝕓{I} V2.
+                      L1 [0, e - 1] â\96¶* L2 â\86\92 L2 â\8a¢ V1 [0, e - 1] â\96¶* V2 →
+                      0 < e → L1. ⓑ{I} V1 [0, e] ▶* L2. ⓑ{I} V2.
 #L1 #L2 #I #V1 #V2 #e #HL12 #HV12 #He
->(plus_minus_m_m e 1) /2/
+>(plus_minus_m_m e 1) // /2 width=1/
 qed.
 
 lemma ltpss_tpss1: ∀L1,L2,I,V1,V2,d,e.
-                   L1 [d, e] â\89«* L2 â\86\92 L2 â\8a¢ V1 [d, e] â\89«* V2 →
-                   L1. 𝕓{I} V1 [d + 1, e] ≫* L2. 𝕓{I} V2.
+                   L1 [d, e] â\96¶* L2 â\86\92 L2 â\8a¢ V1 [d, e] â\96¶* V2 →
+                   L1. ⓑ{I} V1 [d + 1, e] ▶* L2. ⓑ{I} V2.
 #L1 #L2 #I #V1 #V2 #d #e #HL12 #H @(tpss_ind … H) -V2
-[ /2/
-| #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2/
+[ /2 width=1/
+| #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2 width=1/
 ]
 qed.
 
 lemma ltpss_tpss1_lt: ∀L1,L2,I,V1,V2,d,e.
-                      L1 [d - 1, e] â\89«* L2 â\86\92 L2 â\8a¢ V1 [d - 1, e] â\89«* V2 →
-                      0 < d → L1. 𝕓{I} V1 [d, e] ≫* L2. 𝕓{I} V2.
+                      L1 [d - 1, e] â\96¶* L2 â\86\92 L2 â\8a¢ V1 [d - 1, e] â\96¶* V2 →
+                      0 < d → L1. ⓑ{I} V1 [d, e] ▶* L2. ⓑ{I} V2.
 #L1 #L2 #I #V1 #V2 #d #e #HL12 #HV12 #Hd
->(plus_minus_m_m d 1) /2/
+>(plus_minus_m_m d 1) // /2 width=1/
 qed.