X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbs.ma;h=8aa6dba6d9cbe812ba9bf248e025fb4cb6777786;hp=827912dfa000fe5fd6728e228925703d3f6b6f55;hb=b118146b97959e6a6dde18fdd014b8e1e676a2d1;hpb=613d8642b1154dde0c026cbdcd96568910198251

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs.ma
index 827912dfa..8aa6dba6d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs.ma
@@ -14,6 +14,7 @@
 
 include "ground/lib/star.ma".
 include "basic_2/notation/relations/predsubtystar_6.ma".
+include "static_2/static/reqx.ma".
 include "basic_2/rt_transition/fpbq.ma".
 
 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
@@ -62,25 +63,25 @@ lemma fpbs_strap2:
 
 (* Basic_2A1: uses: lleq_fpbs fleq_fpbs *)
 lemma feqx_fpbs:
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
 /3 width=1 by fpbq_fpbs, fpbq_feqx/ qed.
 
 (* Basic_2A1: uses: fpbs_lleq_trans *)
 lemma fpbs_feqx_trans:
       ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≥ ❪G,L,T❫ →
-      ∀G2,L2,T2. ❪G,L,T❫ ≛ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G2,L2,T2. ❪G,L,T❫ ≅ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
 /3 width=9 by fpbs_strap1, fpbq_feqx/ qed-.
 
 (* Basic_2A1: uses: lleq_fpbs_trans *)
 lemma feqx_fpbs_trans:
       ∀G,G2,L,L2,T,T2. ❪G,L,T❫ ≥ ❪G2,L2,T2❫ →
-      ∀G1,L1,T1. ❪G1,L1,T1❫ ≛ ❪G,L,T❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+      ∀G1,L1,T1. ❪G1,L1,T1❫ ≅ ❪G,L,T❫ → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
 /3 width=5 by fpbs_strap2, fpbq_feqx/ qed-.
 
 lemma teqx_reqx_lpx_fpbs:
-      ∀T1,T2. T1 ≛ T2 → ∀L1,L0. L1 ≛[T2] L0 →
+      ∀T1,T2. T1 ≅ T2 → ∀L1,L0. L1 ≅[T2] L0 →
       ∀G,L2. ❪G,L0❫ ⊢ ⬈ L2 → ❪G,L1,T1❫ ≥ ❪G,L2,T2❫.
-/4 width=5 by feqx_fpbs, fpbs_strap1, fpbq_lpx, feqx_intro_dx/ qed.
+/4 width=5 by feqx_fpbs, fpbs_strap1, fpbq_lpx, feqg_intro_dx/ qed.
 
 (* Basic_2A1: removed theorems 3:
               fpb_fpbsa_trans fpbs_fpbsa fpbsa_inv_fpbs