update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo_vector.ma
index f12edb09ff070376d0e07b1b34aa3df3754b3d84..044a3894379c0282a960b940f4da3e4c9b9c4744 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo_vector.ma
@@ -21,7 +21,7 @@ include "basic_2/rt_computation/cpxs_teqo.ma".
 (* Vector form of forward lemmas with outer equivalence for terms ***********)
 
 lemma cpxs_fwd_sort_vector (G) (L):
-      â\88\80s,Vs,X2. â\9dªG,Lâ\9d« ⊢ ⒶVs.⋆s ⬈* X2 → ⒶVs.⋆s ~ X2.
+      â\88\80s,Vs,X2. â\9d¨G,Lâ\9d© ⊢ ⒶVs.⋆s ⬈* X2 → ⒶVs.⋆s ~ X2.
 #G #L #s #Vs elim Vs -Vs /2 width=4 by cpxs_fwd_sort/
 #V #Vs #IHVs #X2 #H
 elim (cpxs_inv_appl1 … H) -H *
@@ -39,8 +39,8 @@ qed-.
 lemma cpxs_fwd_delta_drops_vector (I) (G) (L) (K):
       ∀V1,i. ⇩[i] L ≘ K.ⓑ[I]V1 →
       ∀V2. ⇧[↑i] V1 ≘ V2 →
-      â\88\80Vs,X2. â\9dªG,Lâ\9d« ⊢ ⒶVs.#i ⬈* X2 →
-      â\88¨â\88¨ â\92¶Vs.#i ~ X2 | â\9dªG,Lâ\9d« ⊢ ⒶVs.V2 ⬈* X2.
+      â\88\80Vs,X2. â\9d¨G,Lâ\9d© ⊢ ⒶVs.#i ⬈* X2 →
+      â\88¨â\88¨ â\92¶Vs.#i ~ X2 | â\9d¨G,Lâ\9d© ⊢ ⒶVs.V2 ⬈* X2.
 #I #G #L #K #V1 #i #HLK #V2 #HV12 #Vs
 elim Vs -Vs /2 width=5 by cpxs_fwd_delta_drops/
 #V #Vs #IHVs #X2 #H -K -V1
@@ -65,8 +65,8 @@ qed-.
 
 (* Basic_1: was just: pr3_iso_appls_beta *)
 lemma cpxs_fwd_beta_vector (p) (G) (L):
-      â\88\80Vs,V,W,T,X2. â\9dªG,Lâ\9d« ⊢ ⒶVs.ⓐV.ⓛ[p]W.T ⬈* X2 →
-      â\88¨â\88¨ â\92¶Vs.â\93\90V.â\93\9b[p]W. T ~ X2 | â\9dªG,Lâ\9d« ⊢ ⒶVs.ⓓ[p]ⓝW.V.T ⬈* X2.
+      â\88\80Vs,V,W,T,X2. â\9d¨G,Lâ\9d© ⊢ ⒶVs.ⓐV.ⓛ[p]W.T ⬈* X2 →
+      â\88¨â\88¨ â\92¶Vs.â\93\90V.â\93\9b[p]W. T ~ X2 | â\9d¨G,Lâ\9d© ⊢ ⒶVs.ⓓ[p]ⓝW.V.T ⬈* X2.
 #p #G #L #Vs elim Vs -Vs /2 width=1 by cpxs_fwd_beta/
 #V0 #Vs #IHVs #V #W #T #X2 #H
 elim (cpxs_inv_appl1 … H) -H *
@@ -91,8 +91,8 @@ qed-.
 (* Basic_1: was just: pr3_iso_appls_abbr *)
 lemma cpxs_fwd_theta_vector (G) (L):
       ∀V1b,V2b. ⇧[1] V1b ≘ V2b →
-      â\88\80p,V,T,X2. â\9dªG,Lâ\9d« ⊢ ⒶV1b.ⓓ[p]V.T ⬈* X2 →
-      â\88¨â\88¨ â\92¶V1b.â\93\93[p]V.T ~ X2 | â\9dªG,Lâ\9d« ⊢ ⓓ[p]V.ⒶV2b.T ⬈* X2.
+      â\88\80p,V,T,X2. â\9d¨G,Lâ\9d© ⊢ ⒶV1b.ⓓ[p]V.T ⬈* X2 →
+      â\88¨â\88¨ â\92¶V1b.â\93\93[p]V.T ~ X2 | â\9d¨G,Lâ\9d© ⊢ ⓓ[p]V.ⒶV2b.T ⬈* X2.
 #G #L #V1b #V2b * -V1b -V2b /3 width=1 by or_intror/
 #V1b #V2b #V1a #V2a #HV12a #HV12b #p
 generalize in match HV12a; -HV12a
@@ -140,10 +140,10 @@ qed-.
 
 (* Basic_1: was just: pr3_iso_appls_cast *)
 lemma cpxs_fwd_cast_vector (G) (L):
-      â\88\80Vs,W,T,X2. â\9dªG,Lâ\9d« ⊢ ⒶVs.ⓝW.T ⬈* X2 →
+      â\88\80Vs,W,T,X2. â\9d¨G,Lâ\9d© ⊢ ⒶVs.ⓝW.T ⬈* X2 →
       ∨∨ ⒶVs. ⓝW. T ~ X2
-       | â\9dªG,Lâ\9d« ⊢ ⒶVs.T ⬈* X2
-       | â\9dªG,Lâ\9d« ⊢ ⒶVs.W ⬈* X2.
+       | â\9d¨G,Lâ\9d© ⊢ ⒶVs.T ⬈* X2
+       | â\9d¨G,Lâ\9d© ⊢ ⒶVs.W ⬈* X2.
 #G #L #Vs elim Vs -Vs /2 width=1 by cpxs_fwd_cast/
 #V #Vs #IHVs #W #T #X2 #H
 elim (cpxs_inv_appl1 … H) -H *
@@ -172,8 +172,8 @@ qed-.
 
 (* Basic_1: was just: nf2_iso_appls_lref *)
 lemma cpxs_fwd_cnx_vector (G) (L):
-      â\88\80T. ð\9d\90\92â\9dªTâ\9d« â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈𝐍 T →
-      â\88\80Vs,X2. â\9dªG,Lâ\9d« ⊢ ⒶVs.T ⬈* X2 → ⒶVs.T ~ X2.
+      â\88\80T. ð\9d\90\92â\9d¨Tâ\9d© â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 T →
+      â\88\80Vs,X2. â\9d¨G,Lâ\9d© ⊢ ⒶVs.T ⬈* X2 → ⒶVs.T ~ X2.
 #G #L #T #H1T #H2T #Vs elim Vs -Vs [ @(cpxs_fwd_cnx … H2T) ] (**) (* /2 width=3 by cpxs_fwd_cnx/ does not work *)
 #V #Vs #IHVs #X2 #H
 elim (cpxs_inv_appl1 … H) -H *