X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_csx_vector.ma;h=cab82ac336828398851c2d59bf6843ad36e74672;hp=d88452162cbde3924f62de271bbe230a926da58f;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma
index d88452162..cab82ac33 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx_vector.ma
@@ -24,8 +24,8 @@ include "basic_2/rt_computation/csx_vector.ma".
 
 (* Basic_1: was just: sn3_appls_beta *)
 lemma csx_applv_beta (h) (G):
-      ∀p,L,Vs,V,W,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.ⓓ{p}ⓝW.V.T⦄ →
-      ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.ⓐV.ⓛ{p}W.T⦄.
+      ∀p,L,Vs,V,W,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.ⓓ[p]ⓝW.V.T❫ →
+      ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.ⓐV.ⓛ[p]W.T❫.
 #h #G #p #L #Vs elim Vs -Vs /2 width=1 by csx_appl_beta/
 #V0 #Vs #IHV #V #W #T #H1T
 lapply (csx_fwd_pair_sn … H1T) #HV0
@@ -39,9 +39,9 @@ elim (cpxs_fwd_beta_vector … H) -H #H
 qed.
 
 lemma csx_applv_delta_drops (h) (G):
-      ∀I,L,K,V1,i. ⇩*[i] L ≘ K.ⓑ{I}V1 →
+      ∀I,L,K,V1,i. ⇩*[i] L ≘ K.ⓑ[I]V1 →
       ∀V2. ⇧*[↑i] V1 ≘ V2 →
-      ∀Vs. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.V2⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.#i⦄.
+      ∀Vs. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.V2❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.#i❫.
 #h #G #I #L #K #V1 #i #HLK #V2 #HV12 #Vs elim Vs -Vs
 [ /4 width=11 by csx_inv_lifts, csx_lref_pair_drops, drops_isuni_fwd_drop2/
 | #V #Vs #IHV #H1T
@@ -59,7 +59,7 @@ qed.
 (* Basic_1: was just: sn3_appls_abbr *)
 lemma csx_applv_theta (h) (G):
       ∀p,L,V1b,V2b. ⇧*[1] V1b ≘ V2b →
-      ∀V,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓓ{p}V.ⒶV2b.T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶV1b.ⓓ{p}V.T⦄.
+      ∀V,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓓ[p]V.ⒶV2b.T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶV1b.ⓓ[p]V.T❫.
 #h #G #p #L #V1b #V2b * -V1b -V2b /2 width=1 by/
 #V1b #V2b #V1 #V2 #HV12 #H
 generalize in match HV12; -HV12 generalize in match V2; -V2 generalize in match V1; -V1
@@ -77,8 +77,8 @@ qed.
 
 (* Basic_1: was just: sn3_appls_cast *)
 lemma csx_applv_cast (h) (G):
-      ∀L,Vs,U. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.U⦄ →
-      ∀T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.ⓝU.T⦄.
+      ∀L,Vs,U. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.U❫ →
+      ∀T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⒶVs.ⓝU.T❫.
 #h #G #L #Vs elim Vs -Vs /2 width=1 by csx_cast/
 #V #Vs #IHV #U #H1U #T #H1T
 lapply (csx_fwd_pair_sn … H1U) #HV