update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / rsx_lpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_lpxs.ma
index 7882409b5ca689d0fb68c310b03b72784d8ca1b4..c4787ef7b1742fb7be08662c137d1df84aa2d52b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_lpxs.ma
@@ -22,14 +22,14 @@ include "basic_2/rt_computation/rsx_rsx.ma".
 
 (* Basic_2A1: uses: lsx_intro_alt *)
 lemma rsx_intro_lpxs (G):
-      â\88\80L1,T. (â\88\80L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 → (L1 ≅[T] L2 → ⊥) → G ⊢ ⬈*𝐒[T] L2) →
+      â\88\80L1,T. (â\88\80L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 → (L1 ≅[T] L2 → ⊥) → G ⊢ ⬈*𝐒[T] L2) →
       G ⊢ ⬈*𝐒[T] L1.
 /4 width=1 by lpx_lpxs, rsx_intro/ qed-.
 
 (* Basic_2A1: uses: lsx_lpxs_trans *)
 lemma rsx_lpxs_trans (G):
       ∀L1,T. G ⊢ ⬈*𝐒[T] L1 →
-      â\88\80L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 → G ⊢ ⬈*𝐒[T] L2.
+      â\88\80L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 → G ⊢ ⬈*𝐒[T] L2.
 #G #L1 #T #HL1 #L2 #H @(lpxs_ind_dx … H) -L2
 /2 width=3 by rsx_lpx_trans/
 qed-.
@@ -38,11 +38,11 @@ qed-.
 
 lemma rsx_ind_lpxs_reqx (G) (T) (Q:predicate lenv):
       (∀L1. G ⊢ ⬈*𝐒[T] L1 →
-        (â\88\80L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 → (L1 ≅[T] L2 → ⊥) → Q L2) →
+        (â\88\80L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 → (L1 ≅[T] L2 → ⊥) → Q L2) →
         Q L1
       ) →
       ∀L1. G ⊢ ⬈*𝐒[T] L1 →
-      â\88\80L0. â\9dªG,L1â\9d« ⊢ ⬈* L0 → ∀L2. L0 ≅[T] L2 → Q L2.
+      â\88\80L0. â\9d¨G,L1â\9d© ⊢ ⬈* L0 → ∀L2. L0 ≅[T] L2 → Q L2.
 #G #T #Q #IH #L1 #H @(rsx_ind … H) -L1
 #L1 #HL1 #IH1 #L0 #HL10 #L2 #HL02
 @IH -IH /3 width=3 by rsx_lpxs_trans, rsx_reqx_trans/ -HL1 #K2 #HLK2 #HnLK2
@@ -63,7 +63,7 @@ qed-.
 (* Basic_2A1: uses: lsx_ind_alt *)
 lemma rsx_ind_lpxs (G) (T) (Q:predicate lenv):
       (∀L1. G ⊢ ⬈*𝐒[T] L1 →
-        (â\88\80L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 → (L1 ≅[T] L2 → ⊥) → Q L2) →
+        (â\88\80L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 → (L1 ≅[T] L2 → ⊥) → Q L2) →
         Q L1
       ) →
       ∀L. G ⊢ ⬈*𝐒[T] L → Q L.
@@ -77,7 +77,7 @@ qed-.
 fact rsx_bind_lpxs_aux (G):
      ∀p,I,L1,V. G ⊢ ⬈*𝐒[V] L1 →
      ∀Y,T. G ⊢ ⬈*𝐒[T] Y →
-     â\88\80L2. Y = L2.â\93\91[I]V â\86\92 â\9dªG,L1â\9d« ⊢ ⬈* L2 →
+     â\88\80L2. Y = L2.â\93\91[I]V â\86\92 â\9d¨G,L1â\9d© ⊢ ⬈* L2 →
      G ⊢ ⬈*𝐒[ⓑ[p,I]V.T] L2.
 #G #p #I #L1 #V #H @(rsx_ind_lpxs … H) -L1
 #L1 #_ #IHL1 #Y #T #H @(rsx_ind_lpxs … H) -Y
@@ -104,7 +104,7 @@ lemma rsx_bind (G):
 (* Basic_2A1: uses: lsx_flat_lpxs *)
 lemma rsx_flat_lpxs (G):
       ∀I,L1,V. G ⊢ ⬈*𝐒[V] L1 →
-      â\88\80L2,T. G â\8a¢ â¬\88*ð\9d\90\92[T] L2 â\86\92 â\9dªG,L1â\9d« ⊢ ⬈* L2 →
+      â\88\80L2,T. G â\8a¢ â¬\88*ð\9d\90\92[T] L2 â\86\92 â\9d¨G,L1â\9d© ⊢ ⬈* L2 →
       G ⊢ ⬈*𝐒[ⓕ[I]V.T] L2.
 #G #I #L1 #V #H @(rsx_ind_lpxs … H) -L1
 #L1 #HL1 #IHL1 #L2 #T #H @(rsx_ind_lpxs … H) -L2
@@ -129,7 +129,7 @@ lemma rsx_flat (G):
 fact rsx_bind_lpxs_void_aux (G):
      ∀p,I,L1,V. G ⊢ ⬈*𝐒[V] L1 →
      ∀Y,T. G ⊢ ⬈*𝐒[T] Y →
-     â\88\80L2. Y = L2.â\93§ â\86\92 â\9dªG,L1â\9d« ⊢ ⬈* L2 →
+     â\88\80L2. Y = L2.â\93§ â\86\92 â\9d¨G,L1â\9d© ⊢ ⬈* L2 →
      G ⊢ ⬈*𝐒[ⓑ[p,I]V.T] L2.
 #G #p #I #L1 #V #H @(rsx_ind_lpxs … H) -L1
 #L1 #_ #IHL1 #Y #T #H @(rsx_ind_lpxs … H) -Y