X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms_fpbg.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms_fpbg.ma;h=9a6f712d4c62e773682079ee71b6443f888bcd97;hb=8ec019202bff90959cf1a7158b309e7f83fa222e;hp=d63c89909fc06765d46b6f4c2c1ea54b10d7f28b;hpb=33d0a7a9029859be79b25b5a495e0f30dab11f37;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
index d63c89909..9a6f712d4 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
@@ -22,28 +22,28 @@ include "basic_2/rt_computation/cpms_fpbs.ma".
 (* Forward lemmas with proper parallel rst-computation for closures *********)
 
 lemma cpms_tneqx_fwd_fpbg (h) (n):
-      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 →
-      (T1 ≅ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫.
+      ∀G,L,T1,T2. ❨G,L❩ ⊢ T1 ➡*[h,n] T2 →
+      (T1 ≅ T2 → ⊥) → ❨G,L,T1❩ > ❨G,L,T2❩.
 /3 width=3 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-.
 
 lemma fpbg_cpms_trans (h) (n):
-      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ > ❪G2,L2,T❫ →
-      ∀T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+      ∀G1,G2,L1,L2,T1,T. ❨G1,L1,T1❩ > ❨G2,L2,T❩ →
+      ∀T2. ❨G2,L2❩ ⊢ T ➡*[h,n] T2 → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
 /3 width=5 by fpbg_fpbs_trans, cpms_fwd_fpbs/ qed-.
 
 lemma cpms_fpbg_trans (h) (n):
-      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ➡*[h,n] T →
-      ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+      ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ➡*[h,n] T →
+      ∀G2,L2,T2. ❨G1,L1,T❩ > ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
 /3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-.
 
 lemma fqup_cpms_fwd_fpbg (h):
-      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T❫ →
-      ∀n,T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+      ∀G1,G2,L1,L2,T1,T. ❨G1,L1,T1❩ ⬂+ ❨G2,L2,T❩ →
+      ∀n,T2. ❨G2,L2❩ ⊢ T ➡*[h,n] T2 → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
 /3 width=5 by cpms_fwd_fpbs, fqup_fpbg, fpbg_fpbs_trans/ qed-.
 
 lemma cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg (h) (G) (L) (T1):
-      ∀n1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → (T1 ≅ T → ⊥) →
-      ∀n2,T2. ❪G,L❫⊢ T ➡*[h,n2] T2 → T1 ≅ T2 → ❪G,L,T1❫ > ❪G,L,T1❫.
+      ∀n1,T. ❨G,L❩ ⊢ T1 ➡[h,n1] T → (T1 ≅ T → ⊥) →
+      ∀n2,T2. ❨G,L❩⊢ T ➡*[h,n2] T2 → T1 ≅ T2 → ❨G,L,T1❩ > ❨G,L,T1❩.
 #h #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12
 /4 width=10 by fpbc_fpbs_fpbg, cpms_fwd_fpbs, fpbs_teqg_trans, cpm_fwd_fpbc, teqx_sym/
 qed-.