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_lpx.ma;h=5c4018a728dc2fb6050c080cbc16b37d52ddbb1c;hp=79d69cf4c7b0f74994ffd1c96a5f91849dacd538;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma
index 79d69cf4c..5c4018a72 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpx.ma
@@ -20,8 +20,8 @@ include "basic_2/rt_computation/csx_cpxs.ma".
 (* Properties with unbound parallel rt-transition on all entries ************)
 
 lemma csx_lpx_conf (h) (G):
-      ∀L1,T. ⦃G,L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →
-      ∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → ⦃G,L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+      ∀L1,T. ❪G,L1❫ ⊢ ⬈*[h] 𝐒❪T❫ →
+      ∀L2. ❪G,L1❫ ⊢ ⬈[h] L2 → ❪G,L2❫ ⊢ ⬈*[h] 𝐒❪T❫.
 #h #G #L1 #T #H @(csx_ind_cpxs … H) -T
 /4 width=3 by csx_intro, lpx_cpx_trans/
 qed-.
@@ -29,8 +29,8 @@ qed-.
 (* Advanced properties ******************************************************)
 
 lemma csx_abst (h) (G):
-      ∀p,L,W. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃W⦄ →
-      ∀T. ⦃G,L.ⓛW⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓛ{p}W.T⦄.
+      ∀p,L,W. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪W❫ →
+      ∀T. ❪G,L.ⓛW❫ ⊢ ⬈*[h] 𝐒❪T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓛ[p]W.T❫.
 #h #G #p #L #W #HW
 @(csx_ind … HW) -W #W #_ #IHW #T #HT
 @(csx_ind … HT) -T #T #HT #IHT
@@ -45,8 +45,8 @@ elim (tneqx_inv_pair  … H2) -H2
 qed.
 
 lemma csx_abbr (h) (G):
-      ∀p,L,V. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ →
-      ∀T. ⦃G,L.ⓓV⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓓ{p}V.T⦄.
+      ∀p,L,V. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪V❫ →
+      ∀T. ❪G,L.ⓓV❫ ⊢ ⬈*[h] 𝐒❪T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓓ[p]V.T❫.
 #h #G #p #L #V #HV
 @(csx_ind … HV) -V #V #_ #IHV #T #HT
 @(csx_ind_cpxs … HT) -T #T #HT #IHT
@@ -64,15 +64,15 @@ elim (cpx_inv_abbr1 … H1) -H1 *
 qed.
 
 lemma csx_bind (h) (G):
-      ∀p,I,L,V. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ →
-      ∀T. ⦃G,L.ⓑ{I}V⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓑ{p,I}V.T⦄.
+      ∀p,I,L,V. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪V❫ →
+      ∀T. ❪G,L.ⓑ[I]V❫ ⊢ ⬈*[h] 𝐒❪T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓑ[p,I]V.T❫.
 #h #G #p * #L #V #HV #T #HT
 /2 width=1 by csx_abbr, csx_abst/
 qed.
 
 fact csx_appl_theta_aux (h) (G):
-     ∀p,L,U. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃U⦄ → ∀V1,V2. ⇧*[1] V1 ≘ V2 →
-     ∀V,T. U = ⓓ{p}V.ⓐV2.T → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV1.ⓓ{p}V.T⦄.
+     ∀p,L,U. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪U❫ → ∀V1,V2. ⇧*[1] V1 ≘ V2 →
+     ∀V,T. U = ⓓ[p]V.ⓐV2.T → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓐV1.ⓓ[p]V.T❫.
 #h #G #p #L #X #H
 @(csx_ind_cpxs … H) -X #X #HVT #IHVT #V1 #V2 #HV12 #V #T #H destruct
 lapply (csx_fwd_pair_sn … HVT) #HV
@@ -83,7 +83,7 @@ elim (cpx_inv_appl1 … HL) -HL *
   elim (cpx_inv_abbr1 … HL) -HL *
   [ #V3 #T3 #HV3 #HLT3 #H0 destruct
     elim (cpx_lifts_sn … HLV10 (Ⓣ) … (L.ⓓV) … HV12) -HLV10 /3 width=1 by drops_refl, drops_drop/ #V4 #HV04 #HV24
-    elim (teqx_dec (ⓓ{p}V.ⓐV2.T) (ⓓ{p}V3.ⓐV4.T3)) #H0
+    elim (teqx_dec (ⓓ[p]V.ⓐV2.T) (ⓓ[p]V3.ⓐV4.T3)) #H0
     [ -IHVT -HV3 -HV24 -HLT3
       elim (teqx_inv_pair … H0) -H0 #_ #HV3 #H0
       elim (teqx_inv_pair … H0) -H0 #_ #HV24 #HT3
@@ -106,6 +106,6 @@ elim (cpx_inv_appl1 … HL) -HL *
 qed-.
 
 lemma csx_appl_theta (h) (G):
-      ∀p,L,V,V2,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓓ{p}V.ⓐV2.T⦄ →
-      ∀V1. ⇧*[1] V1 ≘ V2 → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV1.ⓓ{p}V.T⦄.
+      ∀p,L,V,V2,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓓ[p]V.ⓐV2.T❫ →
+      ∀V1. ⇧*[1] V1 ≘ V2 → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓐV1.ⓓ[p]V.T❫.
 /2 width=5 by csx_appl_theta_aux/ qed.