some renaming and some typos corrected ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / fsb_csx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fsb_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fsb_csx.ma
index f983e8d060f8aaf33c0f1e6835e505dc3f31a3e8..5941916f8696ffc64070cbcdcee43b68f9844aa6 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fsb_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fsb_csx.ma
@@ -19,7 +19,7 @@ include "basic_2/computation/fsb_alt.ma".
 
 (* "BIG TREE" STRONGLY NORMALIZING TERMS ************************************)
 
-(* Advanced propreties on context-senstive extended bormalizing terms *******)
+(* Advanced propreties on context-sensitive extended normalizing terms *******)
 
 lemma csx_fsb_fpbs: ∀h,g,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, g] T1 →
                     ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⦥[h, g] T2.
@@ -27,7 +27,7 @@ lemma csx_fsb_fpbs: ∀h,g,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, g] T1 →
 #T1 #HT1 #IHc #G2 #L2 #T2 @(fqup_wf_ind … G2 L2 T2) -G2 -L2 -T2
 #G0 #L0 #T0 #IHu #H10 lapply (csx_fpbs_conf … H10) // -HT1
 #HT0 generalize in match IHu; -IHu generalize in match H10; -H10
-@(lsx_ind … (csx_lsx … HT0 0)) -L0
+@(lsx_ind_alt … (csx_lsx … HT0 0)) -L0
 #L0 #_ #IHl #H10 #IHu @fsb_intro
 #G2 #L2 #T2 * -G2 -L2 -T2 [ -IHl -IHc | -IHu -IHl |  ]
 [ /3 width=5 by fpbs_fqup_trans/
@@ -60,7 +60,7 @@ lemma csx_ind_fpbu: ∀h,g. ∀R:relation3 genv lenv term.
 
 lemma csx_ind_fpbg: ∀h,g. ∀R:relation3 genv lenv term.
                     (∀G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, g] T1 →
-                                (â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 >â\8b\95[h, g] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
+                                (â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 >â\89¡[h, g] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
                                 R G1 L1 T1
                     ) →
                     ∀G,L,T. ⦃G, L⦄ ⊢ ⬊*[h, g] T → R G L T.