update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_fsb.ma

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 763faf1d934f6079215debbf429de48e82f0610a..38103031746d12830bc3782a20bbb91629849eb8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
@@ -19,20 +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): ∀G,L,T. ⦃G, L⦄ ⊢ T ![a, h] → ≥[h] 𝐒⦃G, L, T⦄.
-#a #h #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 (a) (h): ∀G,L,T. ⦃G,L⦄ ⊢ T ![a,h] → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
-#a #h #G #L #T #H
+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) (G) (L) (T):
-                          ⦃G, L⦄ ⊢ T ![a,h] → ⦃G, L, T⦄ >[h] ⦃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-.