X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_fsb.ma;h=38103031746d12830bc3782a20bbb91629849eb8;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=4ce63d92a59b8e932c9faed5f4795d83c102637c;hpb=9aa2722ff4aa7868ffd14e5a820cd6dc79e2c8a6;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
index 4ce63d92a..381030317 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
@@ -19,13 +19,23 @@ include "basic_2/dynamic/cnv_aaa.ma".
 
 (* Forward lemmas with strongly rst-normalizing closures ********************)
 
+(* Note: this is the "big tree" theorem *)
 (* Basic_2A1: uses: snv_fwd_fsb *)
-lemma cnv_fwd_fsb (a) (h) (o): ∀G,L,T. ⦃G, L⦄ ⊢ T ![a, h] → ≥[h, o] 𝐒⦃G, L, T⦄.
-#a #h #o #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/
+lemma cnv_fwd_fsb (h) (a):
+      ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ≥[h] 𝐒❪G,L,T❫.
+#h #a #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/
+qed-.
+
+(* Forward lemmas with strongly rt-normalizing terms ************************)
+
+lemma cnv_fwd_csx (h) (a):
+      ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫.
+#h #a #G #L #T #H
+/3 width=2 by cnv_fwd_fsb, fsb_inv_csx/
 qed-.
 
 (* Inversion lemmas with proper parallel rst-computation for closures *******)
 
-lemma cnv_fpbg_refl_false (a) (h) (o) (G) (L) (T):
-                          ⦃G, L⦄ ⊢ T ![a,h] → ⦃G, L, T⦄ >[h,o] ⦃G, L, T⦄ → ⊥.
+lemma cnv_fpbg_refl_false (h) (a):
+      ∀G,L,T. ❪G,L❫ ⊢ T ![h,a] → ❪G,L,T❫ >[h] ❪G,L,T❫ → ⊥.
 /3 width=7 by cnv_fwd_fsb, fsb_fpbg_refl_false/ qed-.