commit in ground_2, static_2, basic_2, apps_2

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

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 b2093e068389d718efe3bc206056cd1459ea4453..cd2c4124815b517af7783d98d82d5843562fd9e7 100644 (file)
--- 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-.
@@ -64,3 +64,12 @@ lemma fsb_ind_fpbg: ∀h,o. ∀Q:relation3 genv lenv term.
 #h #o #Q #IH #G1 #L1 #T1 #H @(fsb_ind_fpbg_fpbs … H) -H
 /3 width=1 by/
 qed-.
+
+(* Inversion lemmas with proper parallel rst-computation for closures *******)
+
+lemma fsb_fpbg_refl_false (h) (o) (G) (L) (T):
+                          ≥[h,o] 𝐒⦃G, L, T⦄ → ⦃G, L, T⦄ >[h,o] ⦃G, L, T⦄ → ⊥.
+#h #o #G #L #T #H
+@(fsb_ind_fpbg … H) -G -L -T #G1 #L1 #T1 #_ #IH #H
+/2 width=5 by/
+qed-.