update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lfsx_lfpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lfpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lfpxs.ma
index ff5ddc3049ac5bf39eaf41acc13629e9cf651799..5388d8b24201a63ff0cbc22400fc00069ded4ae5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lfpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lfpxs.ma
@@ -17,13 +17,13 @@ include "basic_2/rt_computation/lfpxs_cpxs.ma".
 include "basic_2/rt_computation/lfpxs_lfpxs.ma".
 include "basic_2/rt_computation/lfsx_lfsx.ma".
 
-(* STRONGLY NORMALIZING LOCAL ENV.S FOR UNCOUNTED PARALLEL RT-TRANSITION ****)
+(* STRONGLY NORMALIZING LOCAL ENV.S FOR UNBOUND PARALLEL RT-TRANSITION ******)
 
-(* Properties with uncounted rt-computation on referred entries *************)
+(* Properties with unbound rt-computation on referred entries ***************)
 
 (* Basic_2A1: uses: lsx_intro_alt *)
 lemma lfsx_intro_lfpxs: ∀h,o,G,L1,T.
-                        (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L2 â\86\92 (L1 â\89¡[h, o, T] L2 → ⊥) → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄) →
+                        (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L2 â\86\92 (L1 â\89\9b[h, o, T] L2 → ⊥) → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄) →
                         G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄.
 /4 width=1 by lfpx_lfpxs, lfsx_intro/ qed-.
 
@@ -34,15 +34,15 @@ lemma lfsx_lfpxs_trans: ∀h,o,G,L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
 /2 width=3 by lfsx_lfpx_trans/
 qed-.
 
-(* Eliminators with uncounted rt-computation on referred entries ************)
+(* Eliminators with unbound rt-computation on referred entries **************)
 
 lemma lfsx_ind_lfpxs_lfdeq: ∀h,o,G,T. ∀R:predicate lenv.
                             (∀L1. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
-                                  (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L2 â\86\92 (L1 â\89¡[h, o, T] L2 → ⊥) → R L2) →
+                                  (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L2 â\86\92 (L1 â\89\9b[h, o, T] L2 → ⊥) → R L2) →
                                   R L1
                             ) →
                             ∀L1. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄  →
-                            â\88\80L0. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L0 â\86\92 â\88\80L2. L0 â\89¡[h, o, T] L2 → R L2.
+                            â\88\80L0. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L0 â\86\92 â\88\80L2. L0 â\89\9b[h, o, T] L2 → R L2.
 #h #o #G #T #R #IH #L1 #H @(lfsx_ind … H) -L1
 #L1 #HL1 #IH1 #L0 #HL10 #L2 #HL02
 @IH -IH /3 width=3 by lfsx_lfpxs_trans, lfsx_lfdeq_trans/ -HL1 #K2 #HLK2 #HnLK2
@@ -63,7 +63,7 @@ qed-.
 (* Basic_2A1: uses: lsx_ind_alt *)
 lemma lfsx_ind_lfpxs: ∀h,o,G,T. ∀R:predicate lenv.
                       (∀L1. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
-                            (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L2 â\86\92 (L1 â\89¡[h, o, T] L2 → ⊥) → R L2) →
+                            (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h, T] L2 â\86\92 (L1 â\89\9b[h, o, T] L2 → ⊥) → R L2) →
                             R L1
                       ) →
                       ∀L. G ⊢ ⬈*[h, o, T] 𝐒⦃L⦄  → R L.