X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb_csx.ma;h=203f60b8aad1f66d6e47f8b5b4959fac9f9116a1;hp=98bed39de105e13dd752c4e238326093503e849f;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_csx.ma
index 98bed39de..203f60b8a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_csx.ma
@@ -21,14 +21,14 @@ include "basic_2/rt_computation/fsb_fpbg.ma".
 
 (* Inversion lemmas with context-sensitive stringly rt-normalizing terms ****)
 
-lemma fsb_inv_csx: ∀h,G,L,T. ≥[h] 𝐒⦃G,L,T⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+lemma fsb_inv_csx: ∀h,G,L,T. ≥[h] 𝐒❪G,L,T❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫.
 #h #G #L #T #H @(fsb_ind_alt … H) -G -L -T /5 width=1 by csx_intro, fpb_cpx/
 qed-.
 
 (* Propreties with context-sensitive stringly rt-normalizing terms **********)
 
-lemma csx_fsb_fpbs: ∀h,G1,L1,T1. ⦃G1,L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                    ∀G2,L2,T2. ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄ → ≥[h] 𝐒⦃G2,L2,T2⦄.
+lemma csx_fsb_fpbs: ∀h,G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*[h] 𝐒❪T1❫ →
+                    ∀G2,L2,T2. ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫ → ≥[h] 𝐒❪G2,L2,T2❫.
 #h #G1 #L1 #T1 #H @(csx_ind … H) -T1
 #T1 #HT1 #IHc #G2 #L2 #T2 @(fqup_wf_ind (Ⓣ) … G2 L2 T2) -G2 -L2 -T2
 #G0 #L0 #T0 #IHu #H10
@@ -56,23 +56,23 @@ generalize in match IHu; -IHu generalize in match H10; -H10
 ]
 qed.
 
-lemma csx_fsb: ∀h,G,L,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ≥[h] 𝐒⦃G,L,T⦄.
+lemma csx_fsb: ∀h,G,L,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫ → ≥[h] 𝐒❪G,L,T❫.
 /2 width=5 by csx_fsb_fpbs/ qed.
 
 (* Advanced eliminators *****************************************************)
 
 lemma csx_ind_fpb: ∀h. ∀Q:relation3 genv lenv term.
-                   (∀G1,L1,T1. ⦃G1,L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                               (∀G2,L2,T2. ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄ → Q G2 L2 T2) →
+                   (∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*[h] 𝐒❪T1❫ →
+                               (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
                                Q G1 L1 T1
                    ) →
-                   ∀G,L,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →  Q G L T.
+                   ∀G,L,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫ →  Q G L T.
 /4 width=4 by fsb_inv_csx, csx_fsb, fsb_ind_alt/ qed-.
 
 lemma csx_ind_fpbg: ∀h. ∀Q:relation3 genv lenv term.
-                    (∀G1,L1,T1. ⦃G1,L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                                (∀G2,L2,T2. ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄ → Q G2 L2 T2) →
+                    (∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*[h] 𝐒❪T1❫ →
+                                (∀G2,L2,T2. ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
                                 Q G1 L1 T1
                     ) →
-                    ∀G,L,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →  Q G L T.
+                    ∀G,L,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫ →  Q G L T.
 /4 width=4 by fsb_inv_csx, csx_fsb, fsb_ind_fpbg/ qed-.