update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpm_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
index 38c78dea6644e6979362d7ed92d28b6880125796..7beb18d9c4f91765d2abdd51bbe9375f0f99335a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
@@ -51,16 +51,16 @@ qed-.
 (* Basic_2A1: includes: cpr_delta *)
 lemma cpm_delta_drops (h) (n) (G) (L):
       ∀K,V,V2,W2,i.
-      â\87©[i] L â\89\98 K.â\93\93V â\86\92 â\9dªG,Kâ\9d« ⊢ V ➡[h,n] V2 →
-      â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9dªG,Lâ\9d« ⊢ #i ➡[h,n] W2.
+      â\87©[i] L â\89\98 K.â\93\93V â\86\92 â\9d¨G,Kâ\9d© ⊢ V ➡[h,n] V2 →
+      â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9d¨G,Lâ\9d© ⊢ #i ➡[h,n] W2.
 #h #n #G #L #K #V #V2 #W2 #i #HLK *
 /3 width=8 by cpg_delta_drops, ex2_intro/
 qed.
 
 lemma cpm_ell_drops (h) (n) (G) (L):
       ∀K,V,V2,W2,i.
-      â\87©[i] L â\89\98 K.â\93\9bV â\86\92 â\9dªG,Kâ\9d« ⊢ V ➡[h,n] V2 →
-      â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9dªG,Lâ\9d« ⊢ #i ➡[h,↑n] W2.
+      â\87©[i] L â\89\98 K.â\93\9bV â\86\92 â\9d¨G,Kâ\9d© ⊢ V ➡[h,n] V2 →
+      â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9d¨G,Lâ\9d© ⊢ #i ➡[h,↑n] W2.
 #h #n #G #L #K #V #V2 #W2 #i #HLK *
 /3 width=8 by cpg_ell_drops, isrt_succ, ex2_intro/
 qed.
@@ -68,11 +68,11 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 lemma cpm_inv_atom1_drops (h) (n) (G) (L):
-      â\88\80I,T2. â\9dªG,Lâ\9d« ⊢ ⓪[I] ➡[h,n] T2 →
+      â\88\80I,T2. â\9d¨G,Lâ\9d© ⊢ ⓪[I] ➡[h,n] T2 →
       ∨∨ ∧∧ T2 = ⓪[I] & n = 0
        | ∃∃s. T2 = ⋆(⫯[h]s) & I = Sort s & n = 1
-       | â\88\83â\88\83K,V,V2,i. â\87©[i] L â\89\98 K.â\93\93V & â\9dªG,Kâ\9d« ⊢ V ➡[h,n] V2 & ⇧[↑i] V2 ≘ T2 & I = LRef i
-       | â\88\83â\88\83m,K,V,V2,i. â\87©[i] L â\89\98 K.â\93\9bV & â\9dªG,Kâ\9d« ⊢ V ➡[h,m] V2 & ⇧[↑i] V2 ≘ T2 & I = LRef i & n = ↑m.
+       | â\88\83â\88\83K,V,V2,i. â\87©[i] L â\89\98 K.â\93\93V & â\9d¨G,Kâ\9d© ⊢ V ➡[h,n] V2 & ⇧[↑i] V2 ≘ T2 & I = LRef i
+       | â\88\83â\88\83m,K,V,V2,i. â\87©[i] L â\89\98 K.â\93\9bV & â\9d¨G,Kâ\9d© ⊢ V ➡[h,m] V2 & ⇧[↑i] V2 ≘ T2 & I = LRef i & n = ↑m.
 #h #n #G #L #I #T2 * #c #Hc #H elim (cpg_inv_atom1_drops … H) -H *
 [ #H1 #H2 destruct lapply (isrt_inv_00 … Hc) -Hc
   /3 width=1 by or4_intro0, conj/
@@ -87,10 +87,10 @@ lemma cpm_inv_atom1_drops (h) (n) (G) (L):
 qed-.
 
 lemma cpm_inv_lref1_drops (h) (n) (G) (L):
-      â\88\80T2,i. â\9dªG,Lâ\9d« ⊢ #i ➡[h,n] T2 →
+      â\88\80T2,i. â\9d¨G,Lâ\9d© ⊢ #i ➡[h,n] T2 →
       ∨∨ ∧∧ T2 = #i & n = 0
-       | â\88\83â\88\83K,V,V2. â\87©[i] L â\89\98 K.â\93\93V & â\9dªG,Kâ\9d« ⊢ V ➡[h,n] V2 & ⇧[↑i] V2 ≘ T2
-       | â\88\83â\88\83m,K,V,V2. â\87©[i] L â\89\98 K. â\93\9bV & â\9dªG,Kâ\9d« ⊢ V ➡[h,m] V2 & ⇧[↑i] V2 ≘ T2 & n = ↑m.
+       | â\88\83â\88\83K,V,V2. â\87©[i] L â\89\98 K.â\93\93V & â\9d¨G,Kâ\9d© ⊢ V ➡[h,n] V2 & ⇧[↑i] V2 ≘ T2
+       | â\88\83â\88\83m,K,V,V2. â\87©[i] L â\89\98 K. â\93\9bV & â\9d¨G,Kâ\9d© ⊢ V ➡[h,m] V2 & ⇧[↑i] V2 ≘ T2 & n = ↑m.
 #h #n #G #L #T2 #i * #c #Hc #H elim (cpg_inv_lref1_drops … H) -H *
 [ #H1 #H2 destruct lapply (isrt_inv_00 … Hc) -Hc
   /3 width=1 by or3_intro0, conj/
@@ -105,9 +105,9 @@ qed-.
 (* Advanced forward lemmas **************************************************)
 
 fact cpm_fwd_plus_aux (h) (n) (G) (L):
-     â\88\80T1,T2. â\9dªG,Lâ\9d« ⊢ T1 ➡[h,n] T2 →
+     â\88\80T1,T2. â\9d¨G,Lâ\9d© ⊢ T1 ➡[h,n] T2 →
      ∀n1,n2. n1+n2 = n →
-     â\88\83â\88\83T. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡[h,n1] T & â\9dªG,Lâ\9d« ⊢ T ➡[h,n2] T2.
+     â\88\83â\88\83T. â\9d¨G,Lâ\9d© â\8a¢ T1 â\9e¡[h,n1] T & â\9d¨G,Lâ\9d© ⊢ T ➡[h,n2] T2.
 #h #n #G #L #T1 #T2 #H @(cpm_ind … H) -G -L -T1 -T2 -n
 [ #I #G #L #n1 #n2 #H
   elim (plus_inv_O3 … H) -H #H1 #H2 destruct
@@ -167,6 +167,6 @@ fact cpm_fwd_plus_aux (h) (n) (G) (L):
 qed-.
 
 lemma cpm_fwd_plus (h) (G) (L):
-      â\88\80n1,n2,T1,T2. â\9dªG,Lâ\9d« ⊢ T1 ➡[h,n1+n2] T2 →
-      â\88\83â\88\83T. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡[h,n1] T & â\9dªG,Lâ\9d« ⊢ T ➡[h,n2] T2.
+      â\88\80n1,n2,T1,T2. â\9d¨G,Lâ\9d© ⊢ T1 ➡[h,n1+n2] T2 →
+      â\88\83â\88\83T. â\9d¨G,Lâ\9d© â\8a¢ T1 â\9e¡[h,n1] T & â\9d¨G,Lâ\9d© ⊢ T ➡[h,n2] T2.
 /2 width=3 by cpm_fwd_plus_aux/ qed-.