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_cpx.ma;h=a0d04561168b884c00bcebde167e56f8c741c09f;hp=5127496b10aa609b1953cfade6f087c81fcc767a;hb=b118146b97959e6a6dde18fdd014b8e1e676a2d1;hpb=613d8642b1154dde0c026cbdcd96568910198251

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpx.ma
index 5127496b1..a0d045611 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpx.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/cpx_feqx.ma".
+include "basic_2/rt_transition/cpx_feqg.ma".
 include "basic_2/rt_computation/lpxs_cpxs.ma".
 include "basic_2/rt_computation/fpbs_lpxs.ma".
 
@@ -23,18 +23,19 @@ include "basic_2/rt_computation/fpbs_lpxs.ma".
 (* Basic_2A1: uses: fpbs_cpx_trans_neq *)
 lemma fpbs_cpx_tneqx_trans:
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫ →
-      ∀U2. ❪G2,L2❫ ⊢ T2 ⬈ U2 → (T2 ≛ U2 → ⊥) →
-      ∃∃U1. ❪G1,L1❫ ⊢ T1 ⬈ U1 & T1 ≛ U1 → ⊥ & ❪G1,L1,U1❫ ≥ ❪G2,L2,U2❫.
+      ∀U2. ❪G2,L2❫ ⊢ T2 ⬈ U2 → (T2 ≅ U2 → ⊥) →
+      ∃∃U1. ❪G1,L1❫ ⊢ T1 ⬈ U1 & T1 ≅ U1 → ⊥ & ❪G1,L1,U1❫ ≥ ❪G2,L2,U2❫.
 #G1 #G2 #L1 #L2 #T1 #T2 #H #U2 #HTU2 #HnTU2
 elim (fpbs_inv_star … H) -H #G0 #L0 #L3 #T0 #T3 #HT10 #H10 #HL03 #H32
-elim (feqx_cpx_trans … H32 … HTU2) -HTU2 #T4 #HT34 #H42
-lapply (feqx_tneqx_repl_dx … H32 … H42 … HnTU2) -T2 #HnT34
+elim (feqg_cpx_trans … H32 … HTU2) -HTU2 // #T4 #HT34 #H42
+lapply (feqg_tneqg_repl_dx … H32 … H42 … HnTU2) -T2 // #HnT34
 lapply (lpxs_cpx_trans … HT34 … HL03) -HT34 #HT34
 elim (fqus_cpxs_trans_tneqx … H10 … HT34 HnT34) -T3 #T2 #HT02 #HnT02 #H24
 elim (teqx_dec T1 T0) [ #H10 | -HnT02 #HnT10 ]
 [ lapply (cpxs_trans … HT10 … HT02) -HT10 -HT02 #HT12
-  elim (cpxs_tneqx_fwd_step_sn … HT12) [2: /3 width=3 by teqx_canc_sn/ ] -T0 -HT12
-| elim (cpxs_tneqx_fwd_step_sn … HT10 … HnT10) -HT10 -HnT10
+  elim (cpxs_tneqg_fwd_step_sn … HT12)
+  [2,7: /3 width=3 by teqg_canc_sn/ ] -T0 -HT12 //
+| elim (cpxs_tneqg_fwd_step_sn … HT10 … HnT10) -HT10 -HnT10 //
 ]
 /4 width=16 by fpbs_intro_star, cpxs_teqx_fpbs_trans, ex3_intro/
 qed-.