update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
index 793a5184f62b566a2369dcc3c04d27c8dea1b349..2624a8222125760152726d0d31de81c6e20c5de2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
@@ -21,8 +21,8 @@ include "basic_2/rt_computation/cpxs.ma".
 (* Advanced properties ******************************************************)
 
 lemma cpxs_delta (G) (K):
-      â\88\80I,V1,V2. â\9dªG,Kâ\9d« ⊢ V1 ⬈* V2 →
-      â\88\80W2. â\87§[1] V2 â\89\98 W2 â\86\92 â\9dªG,K.â\93\91[I]V1â\9d« ⊢ #0 ⬈* W2.
+      â\88\80I,V1,V2. â\9d¨G,Kâ\9d© ⊢ V1 ⬈* V2 →
+      â\88\80W2. â\87§[1] V2 â\89\98 W2 â\86\92 â\9d¨G,K.â\93\91[I]V1â\9d© ⊢ #0 ⬈* W2.
 #G #K #I #V1 #V2 #H @(cpxs_ind … H) -V2
 [ /3 width=3 by cpx_cpxs, cpx_delta/
 | #V #V2 #_ #HV2 #IH #W2 #HVW2
@@ -32,8 +32,8 @@ lemma cpxs_delta (G) (K):
 qed.
 
 lemma cpxs_lref (G) (K):
-      â\88\80I,T,i. â\9dªG,Kâ\9d« ⊢ #i ⬈* T →
-      â\88\80U. â\87§[1] T â\89\98 U â\86\92 â\9dªG,K.â\93\98[I]â\9d« ⊢ #↑i ⬈* U.
+      â\88\80I,T,i. â\9d¨G,Kâ\9d© ⊢ #i ⬈* T →
+      â\88\80U. â\87§[1] T â\89\98 U â\86\92 â\9d¨G,K.â\93\98[I]â\9d© ⊢ #↑i ⬈* U.
 #G #K #I #T #i #H @(cpxs_ind … H) -T
 [ /3 width=3 by cpx_cpxs, cpx_lref/
 | #T0 #T #_ #HT2 #IH #U #HTU
@@ -44,8 +44,8 @@ qed.
 
 (* Basic_2A1: was: cpxs_delta *)
 lemma cpxs_delta_drops (G) (L):
-      â\88\80I,K,V1,V2,i. â\87©[i] L â\89\98 K.â\93\91[I]V1 â\86\92 â\9dªG,Kâ\9d« ⊢ V1 ⬈* V2 →
-      â\88\80W2. â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9dªG,Lâ\9d« ⊢ #i ⬈* W2.
+      â\88\80I,K,V1,V2,i. â\87©[i] L â\89\98 K.â\93\91[I]V1 â\86\92 â\9d¨G,Kâ\9d© ⊢ V1 ⬈* V2 →
+      â\88\80W2. â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9d¨G,Lâ\9d© ⊢ #i ⬈* W2.
 #G #L #I #K #V1 #V2 #i #HLK #H @(cpxs_ind … H) -V2
 [ /3 width=7 by cpx_cpxs, cpx_delta_drops/
 | #V #V2 #_ #HV2 #IH #W2 #HVW2
@@ -57,9 +57,9 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 lemma cpxs_inv_zero1 (G) (L):
-      â\88\80T2. â\9dªG,Lâ\9d« ⊢ #0 ⬈* T2 →
+      â\88\80T2. â\9d¨G,Lâ\9d© ⊢ #0 ⬈* T2 →
       ∨∨ T2 = #0
-       | â\88\83â\88\83I,K,V1,V2. â\9dªG,Kâ\9d« ⊢ V1 ⬈* V2 & ⇧[1] V2 ≘ T2 & L = K.ⓑ[I]V1.
+       | â\88\83â\88\83I,K,V1,V2. â\9d¨G,Kâ\9d© ⊢ V1 ⬈* V2 & ⇧[1] V2 ≘ T2 & L = K.ⓑ[I]V1.
 #G #L #T2 #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct
@@ -72,9 +72,9 @@ lemma cpxs_inv_zero1 (G) (L):
 qed-.
 
 lemma cpxs_inv_lref1 (G) (L):
-      â\88\80T2,i. â\9dªG,Lâ\9d« ⊢ #↑i ⬈* T2 →
+      â\88\80T2,i. â\9d¨G,Lâ\9d© ⊢ #↑i ⬈* T2 →
       ∨∨ T2 = #(↑i)
-       | â\88\83â\88\83I,K,T. â\9dªG,Kâ\9d« ⊢ #i ⬈* T & ⇧[1] T ≘ T2 & L = K.ⓘ[I].
+       | â\88\83â\88\83I,K,T. â\9d¨G,Kâ\9d© ⊢ #i ⬈* T & ⇧[1] T ≘ T2 & L = K.ⓘ[I].
 #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct
@@ -88,9 +88,9 @@ qed-.
 
 (* Basic_2A1: was: cpxs_inv_lref1 *)
 lemma cpxs_inv_lref1_drops (G) (L):
-      â\88\80T2,i. â\9dªG,Lâ\9d« ⊢ #i ⬈* T2 →
+      â\88\80T2,i. â\9d¨G,Lâ\9d© ⊢ #i ⬈* T2 →
       ∨∨ T2 = #i
-       | â\88\83â\88\83I,K,V1,T1. â\87©[i] L â\89\98 K.â\93\91[I]V1 & â\9dªG,Kâ\9d« ⊢ V1 ⬈* T1 & ⇧[↑i] T1 ≘ T2.
+       | â\88\83â\88\83I,K,V1,T1. â\87©[i] L â\89\98 K.â\93\91[I]V1 & â\9d¨G,Kâ\9d© ⊢ V1 ⬈* T1 & ⇧[↑i] T1 ≘ T2.
 #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct