X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frsx.ma;h=81e3d915426ee3bde30c5c46902c2984857aac24;hp=2671597f13eca7211c17021b3b598766fd8f0b56;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx.ma
index 2671597f1..81e3d9154 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx.ma
@@ -29,11 +29,11 @@ interpretation
 
 (* Basic_2A1: uses: lsx_ind *)
 lemma rsx_ind (h) (G) (T) (Q:predicate lenv):
-      (∀L1. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ →
-            (∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[T] L2 → ⊥) → Q L2) →
+      (∀L1. G ⊢ ⬈*[h,T] 𝐒❪L1❫ →
+            (∀L2. ❪G,L1❫ ⊢ ⬈[h] L2 → (L1 ≛[T] L2 → ⊥) → Q L2) →
             Q L1
       ) →
-      ∀L. G ⊢ ⬈*[h,T] 𝐒⦃L⦄ →  Q L.
+      ∀L. G ⊢ ⬈*[h,T] 𝐒❪L❫ →  Q L.
 #h #G #T #Q #H0 #L1 #H elim H -L1
 /5 width=1 by SN_intro/
 qed-.
@@ -43,16 +43,16 @@ qed-.
 (* Basic_2A1: uses: lsx_intro *)
 lemma rsx_intro (h) (G) (T):
       ∀L1.
-      (∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[T] L2 → ⊥) → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄) →
-      G ⊢ ⬈*[h,T] 𝐒⦃L1⦄.
+      (∀L2. ❪G,L1❫ ⊢ ⬈[h] L2 → (L1 ≛[T] L2 → ⊥) → G ⊢ ⬈*[h,T] 𝐒❪L2❫) →
+      G ⊢ ⬈*[h,T] 𝐒❪L1❫.
 /5 width=1 by SN_intro/ qed.
 
 (* Basic forward lemmas *****************************************************)
 
 (* Basic_2A1: uses: lsx_fwd_pair_sn lsx_fwd_bind_sn lsx_fwd_flat_sn *)
 lemma rsx_fwd_pair_sn (h) (G):
-      ∀I,L,V,T. G ⊢ ⬈*[h,②{I}V.T] 𝐒⦃L⦄ →
-      G ⊢ ⬈*[h,V] 𝐒⦃L⦄.
+      ∀I,L,V,T. G ⊢ ⬈*[h,②[I]V.T] 𝐒❪L❫ →
+      G ⊢ ⬈*[h,V] 𝐒❪L❫.
 #h #G #I #L #V #T #H
 @(rsx_ind … H) -L #L1 #_ #IHL1
 @rsx_intro #L2 #HL12 #HnL12
@@ -61,8 +61,8 @@ qed-.
 
 (* Basic_2A1: uses: lsx_fwd_flat_dx *)
 lemma rsx_fwd_flat_dx (h) (G):
-      ∀I,L,V,T. G ⊢ ⬈*[h,ⓕ{I}V.T] 𝐒⦃L⦄ →
-      G ⊢ ⬈*[h,T] 𝐒⦃L⦄.
+      ∀I,L,V,T. G ⊢ ⬈*[h,ⓕ[I]V.T] 𝐒❪L❫ →
+      G ⊢ ⬈*[h,T] 𝐒❪L❫.
 #h #G #I #L #V #T #H
 @(rsx_ind … H) -L #L1 #_ #IHL1
 @rsx_intro #L2 #HL12 #HnL12
@@ -70,23 +70,23 @@ lemma rsx_fwd_flat_dx (h) (G):
 qed-.
 
 fact rsx_fwd_pair_aux (h) (G):
-     ∀L. G ⊢ ⬈*[h,#0] 𝐒⦃L⦄ →
-     ∀I,K,V. L = K.ⓑ{I}V → G ⊢ ⬈*[h,V] 𝐒⦃K⦄.
+     ∀L. G ⊢ ⬈*[h,#0] 𝐒❪L❫ →
+     ∀I,K,V. L = K.ⓑ[I]V → G ⊢ ⬈*[h,V] 𝐒❪K❫.
 #h #G #L #H
 @(rsx_ind … H) -L #L1 #_ #IH #I #K1 #V #H destruct
 /5 width=5 by lpx_pair, rsx_intro, reqx_fwd_zero_pair/
 qed-.
 
 lemma rsx_fwd_pair (h) (G):
-      ∀I,K,V. G ⊢ ⬈*[h,#0] 𝐒⦃K.ⓑ{I}V⦄ → G ⊢ ⬈*[h,V] 𝐒⦃K⦄.
+      ∀I,K,V. G ⊢ ⬈*[h,#0] 𝐒❪K.ⓑ[I]V❫ → G ⊢ ⬈*[h,V] 𝐒❪K❫.
 /2 width=4 by rsx_fwd_pair_aux/ qed-.
 
 (* Basic inversion lemmas ***************************************************)
 
 (* Basic_2A1: uses: lsx_inv_flat *)
 lemma rsx_inv_flat (h) (G):
-      ∀I,L,V,T. G ⊢ ⬈*[h,ⓕ{I}V.T] 𝐒⦃L⦄ →
-      ∧∧ G ⊢ ⬈*[h,V] 𝐒⦃L⦄ & G ⊢ ⬈*[h,T] 𝐒⦃L⦄.
+      ∀I,L,V,T. G ⊢ ⬈*[h,ⓕ[I]V.T] 𝐒❪L❫ →
+      ∧∧ G ⊢ ⬈*[h,V] 𝐒❪L❫ & G ⊢ ⬈*[h,T] 𝐒❪L❫.
 /3 width=3 by rsx_fwd_pair_sn, rsx_fwd_flat_dx, conj/ qed-.
 
 (* Basic_2A1: removed theorems 9: