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.ma;h=0500e42547b2dc03494919ce9cfc8ef146f60ce4;hp=4a5330d1e7326a1d60f7077ba41a7b37bc1aeb91;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma
index 4a5330d1e..0500e4254 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma
@@ -20,24 +20,24 @@ include "basic_2/rt_computation/csx_drops.ma".
 (* Advanced properties ******************************************************)
 
 lemma csx_teqx_trans (h) (G):
-      ∀L,T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-      ∀T2. T1 ≛ T2 → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
+      ∀L,T1. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T1❫ →
+      ∀T2. T1 ≛ T2 → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T2❫.
 #h #G #L #T1 #H @(csx_ind … H) -T1 #T #_ #IH #T2 #HT2
 @csx_intro #T1 #HT21 #HnT21 elim (teqx_cpx_trans … HT2 … HT21) -HT21
 /4 width=5 by teqx_repl/
 qed-.
 
 lemma csx_cpx_trans (h) (G):
-      ∀L,T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-      ∀T2. ⦃G,L⦄ ⊢ T1 ⬈[h] T2 → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
+      ∀L,T1. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T1❫ →
+      ∀T2. ❪G,L❫ ⊢ T1 ⬈[h] T2 → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T2❫.
 #h #G #L #T1 #H @(csx_ind … H) -T1 #T1 #HT1 #IHT1 #T2 #HLT12
 elim (teqx_dec T1 T2) /3 width=4 by csx_teqx_trans/
 qed-.
 
 (* Basic_1: was just: sn3_cast *)
 lemma csx_cast (h) (G):
-      ∀L,W. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃W⦄ →
-      ∀T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓝW.T⦄.
+      ∀L,W. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪W❫ →
+      ∀T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪ⓝW.T❫.
 #h #G #L #W #HW @(csx_ind … HW) -W
 #W #HW #IHW #T #HT @(csx_ind … HT) -T
 #T #HT #IHT @csx_intro
@@ -55,8 +55,8 @@ qed.
 (* Basic_1: was just: sn3_abbr *)
 (* Basic_2A1: was: csx_lref_bind *)
 lemma csx_lref_pair_drops (h) (G):
-      ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ{I}V →
-      ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃#i⦄.
+      ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V →
+      ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫.
 #h #G #I #L #K #V #i #HLK #HV
 @csx_intro #X #H #Hi elim (cpx_inv_lref1_drops … H) -H
 [ #H destruct elim Hi //
@@ -71,18 +71,18 @@ qed.
 (* Basic_1: was: sn3_gen_def *)
 (* Basic_2A1: was: csx_inv_lref_bind *)
 lemma csx_inv_lref_pair_drops (h) (G):
-      ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ{I}V →
-      ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃#i⦄ → ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄.
+      ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V →
+      ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
 #h #G #I #L #K #V #i #HLK #Hi
-elim (lifts_total V (𝐔❴↑i❵))
+elim (lifts_total V (𝐔❨↑i❩))
 /4 width=9 by csx_inv_lifts, csx_cpx_trans, cpx_delta_drops, drops_isuni_fwd_drop2/
 qed-.
 
 lemma csx_inv_lref_drops (h) (G):
-      ∀L,i. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃#i⦄ →
-      ∨∨ ⇩*[Ⓕ,𝐔❴i❵] L ≘ ⋆
-       | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ{I}
-       | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄.
+      ∀L,i. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫ →
+      ∨∨ ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆
+       | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ[I]
+       | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
 #h #G #L #i #H elim (drops_F_uni L i) /2 width=1 by or3_intro0/
 * * /4 width=9 by csx_inv_lref_pair_drops, ex2_3_intro, ex1_2_intro, or3_intro2, or3_intro1/
 qed-.