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_lsubr.ma;h=5b180f3da91a1f73b0d6154d41cc8a895cd00572;hp=6d37e77be80f4579f4dcc11a4f67eb19d6f5de86;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lsubr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lsubr.ma
index 6d37e77be..5b180f3da 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lsubr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lsubr.ma
@@ -20,8 +20,8 @@ include "basic_2/rt_computation/csx_csx.ma".
 (* Advanced properties ******************************************************)
 
 fact csx_appl_beta_aux (h) (G):
-     ∀p,L,U1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃U1⦄ →
-     ∀V,W,T1. U1 = ⓓ{p}ⓝW.V.T1 → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.ⓛ{p}W.T1⦄.
+     ∀p,L,U1. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪U1❫ →
+     ∀V,W,T1. U1 = ⓓ[p]ⓝW.V.T1 → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓐV.ⓛ[p]W.T1❫.
 #h #G #p #L #X #H @(csx_ind … H) -X
 #X #HT1 #IHT1 #V #W #T1 #H1 destruct
 @csx_intro #X #H1 #H2
@@ -44,34 +44,34 @@ qed-.
 
 (* Basic_1: was just: sn3_beta *)
 lemma csx_appl_beta (h) (G):
-      ∀p,L,V,W,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓓ{p}ⓝW.V.T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.ⓛ{p}W.T⦄.
+      ∀p,L,V,W,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓓ[p]ⓝW.V.T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓐV.ⓛ[p]W.T❫.
 /2 width=3 by csx_appl_beta_aux/ qed.
 
 (* Advanced forward lemmas **************************************************)
 
 fact csx_fwd_bind_dx_unit_aux (h) (G):
-     ∀L,U. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃U⦄ →
-     ∀p,I,J,V,T. U = ⓑ{p,I}V.T → ⦃G,L.ⓤ{J}⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+     ∀L,U. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪U❫ →
+     ∀p,I,J,V,T. U = ⓑ[p,I]V.T → ❪G,L.ⓤ[J]❫ ⊢ ⬈*[h] 𝐒❪T❫.
 #h #G #L #U #H elim H -H #U0 #_ #IH #p #I #J #V #T #H destruct
 @csx_intro #T2 #HLT2 #HT2
-@(IH (ⓑ{p, I}V.T2)) -IH /2 width=4 by cpx_bind_unit/ -HLT2
+@(IH (ⓑ[p, I]V.T2)) -IH /2 width=4 by cpx_bind_unit/ -HLT2
 #H elim (teqx_inv_pair … H) -H /2 width=1 by/
 qed-.
 
 lemma csx_fwd_bind_dx_unit (h) (G):
-      ∀p,I,L,V,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓑ{p,I}V.T⦄ →
-      ∀J. ⦃G,L.ⓤ{J}⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+      ∀p,I,L,V,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓑ[p,I]V.T❫ →
+      ∀J. ❪G,L.ⓤ[J]❫ ⊢ ⬈*[h] 𝐒❪T❫.
 /2 width=6 by csx_fwd_bind_dx_unit_aux/ qed-.
 
 lemma csx_fwd_bind_unit (h) (G):
-      ∀p,I,L,V,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓑ{p,I}V.T⦄ →
-      ∀J. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ ∧ ⦃G,L.ⓤ{J}⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+      ∀p,I,L,V,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓑ[p,I]V.T❫ →
+      ∀J. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪V❫ ∧ ❪G,L.ⓤ[J]❫ ⊢ ⬈*[h] 𝐒❪T❫.
 /3 width=4 by csx_fwd_pair_sn, csx_fwd_bind_dx_unit, conj/ qed-.
 
 (* Properties with restricted refinement for local environments *************)
 
 lemma csx_lsubr_conf (h) (G):
-      ∀L1,T. ⦃G,L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ∀L2. L1 ⫃ L2 → ⦃G,L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+      ∀L1,T. ❪G,L1❫ ⊢ ⬈*[h] 𝐒❪T❫ → ∀L2. L1 ⫃ L2 → ❪G,L2❫ ⊢ ⬈*[h] 𝐒❪T❫.
 #h #G #L1 #T #H
 @(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
 @csx_intro #T2 #HT12 #HnT12