X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb.ma;h=f210e63a186a92f7ea0ba5a2b2186f0c49f87a1a;hp=a648ae0e91349761ad3fad64b1048db818fbf18b;hb=b118146b97959e6a6dde18fdd014b8e1e676a2d1;hpb=613d8642b1154dde0c026cbdcd96568910198251

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
index a648ae0e9..f210e63a1 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
@@ -21,8 +21,8 @@ include "basic_2/rt_transition/lpr_lpx.ma".
 
 inductive fpb (G1) (L1) (T1): relation3 genv lenv term ≝
 | fpb_fqu: ∀G2,L2,T2. ❪G1,L1,T1❫ ⬂ ❪G2,L2,T2❫ → fpb G1 L1 T1 G2 L2 T2
-| fpb_cpx: ∀T2. ❪G1,L1❫ ⊢ T1 ⬈ T2 → (T1 ≛ T2 → ⊥) → fpb G1 L1 T1 G1 L1 T2
-| fpb_lpx: ∀L2. ❪G1,L1❫ ⊢ ⬈ L2 → (L1 ≛[T1] L2 → ⊥) → fpb G1 L1 T1 G1 L2 T1
+| fpb_cpx: ∀T2. ❪G1,L1❫ ⊢ T1 ⬈ T2 → (T1 ≅ T2 → ⊥) → fpb G1 L1 T1 G1 L1 T2
+| fpb_lpx: ∀L2. ❪G1,L1❫ ⊢ ⬈ L2 → (L1 ≅[T1] L2 → ⊥) → fpb G1 L1 T1 G1 L2 T1
 .
 
 interpretation
@@ -33,9 +33,9 @@ interpretation
 
 (* Basic_2A1: includes: cpr_fpb *)
 lemma cpm_fpb (h) (n) (G) (L):
-      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ ≻ ❪G,L,T2❫.
+      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → (T1 ≅ T2 → ⊥) → ❪G,L,T1❫ ≻ ❪G,L,T2❫.
 /3 width=3 by fpb_cpx, cpm_fwd_cpx/ qed.
 
 lemma lpr_fpb (h) (G) (T):
-      ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → (L1 ≛[T] L2 → ⊥) → ❪G,L1,T❫ ≻ ❪G,L2,T❫.
+      ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → (L1 ≅[T] L2 → ⊥) → ❪G,L1,T❫ ≻ ❪G,L2,T❫.
 /3 width=2 by fpb_lpx, lpr_fwd_lpx/ qed.