- 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 e9995db7037934e5aa8d5b2eff9b054a310af183..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
@@ -24,7 +24,7 @@ theorem ltpss_trans_eq: ∀L1,L,L2,d,e.
 
 lemma ltpss_tpss2: ∀L1,L2,I,V1,V2,e.
                    L1 [0, e] ▶* L2 → L2 ⊢ V1 [0, e] ▶* V2 →
-                   L1. 𝕓{I} V1 [0, e + 1] ▶* L2. 𝕓{I} V2.
+                   L1. ⓑ{I} V1 [0, e + 1] ▶* L2. ⓑ{I} V2.
 #L1 #L2 #I #V1 #V2 #e #HL12 #H @(tpss_ind … H) -V2
 [ /2 width=1/
 | #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2 width=1/
@@ -33,14 +33,14 @@ qed.
 
 lemma ltpss_tpss2_lt: ∀L1,L2,I,V1,V2,e.
                       L1 [0, e - 1] ▶* L2 → L2 ⊢ V1 [0, e - 1] ▶* V2 →
-                      0 < e → L1. 𝕓{I} V1 [0, e] ▶* L2. 𝕓{I} 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 width=1/
 qed.
 
 lemma ltpss_tpss1: ∀L1,L2,I,V1,V2,d,e.
                    L1 [d, e] ▶* L2 → L2 ⊢ V1 [d, e] ▶* V2 →
-                   L1. 𝕓{I} V1 [d + 1, e] ▶* L2. 𝕓{I} V2.
+                   L1. ⓑ{I} V1 [d + 1, e] ▶* L2. ⓑ{I} V2.
 #L1 #L2 #I #V1 #V2 #d #e #HL12 #H @(tpss_ind … H) -V2
 [ /2 width=1/
 | #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2 width=1/
@@ -49,7 +49,7 @@ qed.
 
 lemma ltpss_tpss1_lt: ∀L1,L2,I,V1,V2,d,e.
                       L1 [d - 1, e] ▶* L2 → L2 ⊢ V1 [d - 1, e] ▶* V2 →
-                      0 < d → L1. 𝕓{I} V1 [d, e] ▶* L2. 𝕓{I} 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 width=1/
 qed.