X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb_fpbg.ma;h=07a9aad5eec9d8e0a714d1d7649c7bc85243e915;hb=222044da28742b24584549ba86b1805a87def070;hp=4dbe33e072988280120aa4636b9dd0f39b29d53d;hpb=1fd62f1ce4f8209dec780d80aa53b140a8882ad7;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma
index 4dbe33e07..07a9aad5e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 include "basic_2/rt_computation/fpbg_fpbs.ma".
-include "basic_2/rt_computation/fsb_ffdeq.ma".
+include "basic_2/rt_computation/fsb_fdeq.ma".
 
 (* STRONGLY NORMALIZING CLOSURES FOR PARALLEL RST-TRANSITION ****************)
 
@@ -24,7 +24,7 @@ lemma fsb_fpbs_trans: ∀h,o,G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
 #h #o #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
 #G1 #L1 #T1 #H1 #IH #G2 #L2 #T2 #H12
 elim (fpbs_inv_fpbg … H12) -H12
-[ -IH /2 width=5 by fsb_ffdeq_trans/
+[ -IH /2 width=5 by fsb_fdeq_trans/
 | -H1 * /2 width=5 by/
 ]
 qed-.
@@ -38,14 +38,14 @@ lemma fsb_intro_fpbg: ∀h,o,G1,L1,T1. (
 
 (* Eliminators with proper parallel rst-computation for closures ************)
 
-lemma fsb_ind_fpbg_fpbs: ∀h,o. ∀R:relation3 genv lenv term.
+lemma fsb_ind_fpbg_fpbs: ∀h,o. ∀Q:relation3 genv lenv term.
                          (∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
-                                     (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
-                                     R G1 L1 T1
+                                     (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
+                                     Q G1 L1 T1
                          ) →
                          ∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ → 
-                         ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2.
-#h #o #R #IH1 #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
+                         ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2.
+#h #o #Q #IH1 #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
 #G1 #L1 #T1 #H1 #IH #G2 #L2 #T2 #H12
 @IH1 -IH1
 [ -IH /2 width=5 by fsb_fpbs_trans/
@@ -55,12 +55,12 @@ lemma fsb_ind_fpbg_fpbs: ∀h,o. ∀R:relation3 genv lenv term.
 ]
 qed-.
 
-lemma fsb_ind_fpbg: ∀h,o. ∀R:relation3 genv lenv term.
+lemma fsb_ind_fpbg: ∀h,o. ∀Q:relation3 genv lenv term.
                     (∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
-                                (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
-                                R G1 L1 T1
+                                (∀G2,L2,T2. ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
+                                Q G1 L1 T1
                     ) →
-                    ∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ → R G1 L1 T1.
-#h #o #R #IH #G1 #L1 #T1 #H @(fsb_ind_fpbg_fpbs … H) -H
+                    ∀G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →  Q G1 L1 T1.
+#h #o #Q #IH #G1 #L1 #T1 #H @(fsb_ind_fpbg_fpbs … H) -H
 /3 width=1 by/
 qed-.