X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs.ma;h=6885d5379b554012babec8f66881bd5ef4cc5eaf;hb=8ec019202bff90959cf1a7158b309e7f83fa222e;hp=17f352a9c6e3fbff8a1d2fbdb4a253d4c1b4876e;hpb=33d0a7a9029859be79b25b5a495e0f30dab11f37;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
index 17f352a9c..6885d5379 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
@@ -29,14 +29,14 @@ interpretation
 
 (* Basic_2A1: uses: lpxs_pair_refl *)
 lemma lpxs_bind_refl_dx (G):
-      ∀L1,L2. ❪G,L1❫ ⊢ ⬈* L2 →
-      ∀I. ❪G,L1.ⓘ[I]❫ ⊢ ⬈* L2.ⓘ[I].
+      ∀L1,L2. ❨G,L1❩ ⊢ ⬈* L2 →
+      ∀I. ❨G,L1.ⓘ[I]❩ ⊢ ⬈* L2.ⓘ[I].
 /2 width=1 by lex_bind_refl_dx/ qed.
 
 lemma lpxs_pair (G):
-      ∀L1,L2. ❪G,L1❫ ⊢ ⬈* L2 →
-      ∀V1,V2. ❪G,L1❫ ⊢ V1 ⬈* V2 →
-      ∀I. ❪G,L1.ⓑ[I]V1❫ ⊢ ⬈* L2.ⓑ[I]V2.
+      ∀L1,L2. ❨G,L1❩ ⊢ ⬈* L2 →
+      ∀V1,V2. ❨G,L1❩ ⊢ V1 ⬈* V2 →
+      ∀I. ❨G,L1.ⓑ[I]V1❩ ⊢ ⬈* L2.ⓑ[I]V2.
 /2 width=1 by lex_pair/ qed.
 
 lemma lpxs_refl (G):
@@ -47,29 +47,29 @@ lemma lpxs_refl (G):
 
 (* Basic_2A1: was: lpxs_inv_atom1 *)
 lemma lpxs_inv_atom_sn (G):
-      ∀L2. ❪G,⋆❫ ⊢ ⬈* L2 → L2 = ⋆.
+      ∀L2. ❨G,⋆❩ ⊢ ⬈* L2 → L2 = ⋆.
 /2 width=2 by lex_inv_atom_sn/ qed-.
 
 lemma lpxs_inv_bind_sn (G):
-      ∀I1,L2,K1. ❪G,K1.ⓘ[I1]❫ ⊢ ⬈* L2 →
-      ∃∃I2,K2. ❪G,K1❫ ⊢ ⬈* K2 & ❪G,K1❫ ⊢ I1 ⬈* I2 & L2 = K2.ⓘ[I2].
+      ∀I1,L2,K1. ❨G,K1.ⓘ[I1]❩ ⊢ ⬈* L2 →
+      ∃∃I2,K2. ❨G,K1❩ ⊢ ⬈* K2 & ❨G,K1❩ ⊢ I1 ⬈* I2 & L2 = K2.ⓘ[I2].
 /2 width=1 by lex_inv_bind_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_pair1 *)
 lemma lpxs_inv_pair_sn (G):
-      ∀I,L2,K1,V1. ❪G,K1.ⓑ[I]V1❫ ⊢ ⬈* L2 →
-      ∃∃K2,V2. ❪G,K1❫ ⊢ ⬈* K2 & ❪G,K1❫ ⊢ V1 ⬈* V2 & L2 = K2.ⓑ[I]V2.
+      ∀I,L2,K1,V1. ❨G,K1.ⓑ[I]V1❩ ⊢ ⬈* L2 →
+      ∃∃K2,V2. ❨G,K1❩ ⊢ ⬈* K2 & ❨G,K1❩ ⊢ V1 ⬈* V2 & L2 = K2.ⓑ[I]V2.
 /2 width=1 by lex_inv_pair_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_atom2 *)
 lemma lpxs_inv_atom_dx (G):
-      ∀L1. ❪G,L1❫ ⊢ ⬈* ⋆ → L1 = ⋆.
+      ∀L1. ❨G,L1❩ ⊢ ⬈* ⋆ → L1 = ⋆.
 /2 width=2 by lex_inv_atom_dx/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_pair2 *)
 lemma lpxs_inv_pair_dx (G):
-      ∀I,L1,K2,V2. ❪G,L1❫ ⊢ ⬈* K2.ⓑ[I]V2 →
-      ∃∃K1,V1. ❪G,K1❫ ⊢ ⬈* K2 & ❪G,K1❫ ⊢ V1 ⬈* V2 & L1 = K1.ⓑ[I]V1.
+      ∀I,L1,K2,V2. ❨G,L1❩ ⊢ ⬈* K2.ⓑ[I]V2 →
+      ∃∃K1,V1. ❨G,K1❩ ⊢ ⬈* K2 & ❨G,K1❩ ⊢ V1 ⬈* V2 & L1 = K1.ⓑ[I]V1.
 /2 width=1 by lex_inv_pair_dx/ qed-.
 
 (* Basic eliminators ********************************************************)
@@ -78,12 +78,12 @@ lemma lpxs_inv_pair_dx (G):
 lemma lpxs_ind (G) (Q:relation …):
       Q (⋆) (⋆) → (
         ∀I,K1,K2.
-        ❪G,K1❫ ⊢ ⬈* K2 →
+        ❨G,K1❩ ⊢ ⬈* K2 →
         Q K1 K2 → Q (K1.ⓘ[I]) (K2.ⓘ[I])
       ) → (
         ∀I,K1,K2,V1,V2.
-        ❪G,K1❫ ⊢ ⬈* K2 → ❪G,K1❫ ⊢ V1 ⬈* V2 →
+        ❨G,K1❩ ⊢ ⬈* K2 → ❨G,K1❩ ⊢ V1 ⬈* V2 →
         Q K1 K2 → Q (K1.ⓑ[I]V1) (K2.ⓑ[I]V2)
       ) →
-      ∀L1,L2. ❪G,L1❫ ⊢ ⬈* L2 → Q L1 L2.
+      ∀L1,L2. ❨G,L1❩ ⊢ ⬈* L2 → Q L1 L2.
 /3 width=4 by lex_ind/ qed-.