update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbs_cpx.ma

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 c3cdaf038300adf182435d7c6f27a4c9ad6ba15e..536e532a4b084056066e1e493e0b401274071ed4 100644 (file)
--- 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_fdeq.ma".
+include "basic_2/rt_transition/cpx_feqx.ma".
 include "basic_2/rt_computation/lpxs_cpxs.ma".
 include "basic_2/rt_computation/fpbs_lpxs.ma".
 
@@ -21,19 +21,19 @@ include "basic_2/rt_computation/fpbs_lpxs.ma".
 (* Properties with unbound context-sensitive parallel rt-transition *********)
 
 (* Basic_2A1: uses: fpbs_cpx_trans_neq *)
-lemma fpbs_cpx_tdneq_trans: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ →
-                            â\88\80U2. â¦\83G2, L2â¦\84 â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89\9b[h, o] U2 → ⊥) →
-                            â\88\83â\88\83U1. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b[h, o] U1 â\86\92 â\8a¥ & â¦\83G1, L1, U1â¦\84 â\89¥[h, o] â¦\83G2, L2, U2â¦\84.
-#h #o #G1 #G2 #L1 #L2 #T1 #T2 #H #U2 #HTU2 #HnTU2
+lemma fpbs_cpx_tneqx_trans: ∀h,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫ →
+                            â\88\80U2. â\9dªG2,L2â\9d« â\8a¢ T2 â¬\88[h] U2 â\86\92 (T2 â\89\9b U2 → ⊥) →
+                            â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 â\86\92 â\8a¥ & â\9dªG1,L1,U1â\9d« â\89¥[h] â\9dªG2,L2,U2â\9d«.
+#h #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 (fdeq_cpx_trans … H32 … HTU2) -HTU2 #T4 #HT34 #H42
-lapply (fdeq_tdneq_repl_dx … H32 … H42 … HnTU2) -T2 #HnT34
+elim (feqx_cpx_trans … H32 … HTU2) -HTU2 #T4 #HT34 #H42
+lapply (feqx_tneqx_repl_dx … H32 … H42 … HnTU2) -T2 #HnT34
 lapply (lpxs_cpx_trans … HT34 … HL03) -HT34 #HT34
-elim (fqus_cpxs_trans_tdneq … H10 … HT34 HnT34) -T3 #T2 #HT02 #HnT02 #H24
-elim (tdeq_dec h o T1 T0) [ #H10 | -HnT02 #HnT10 ]
+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_tdneq_fwd_step_sn … o … HT12) [2: /3 width=3 by tdeq_canc_sn/ ] -T0 -HT12
-| elim (cpxs_tdneq_fwd_step_sn … HT10 … HnT10) -HT10 -HnT10
+  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
 ]
-/4 width=16 by fpbs_intro_star, cpxs_tdeq_fpbs_trans, ex3_intro/
+/4 width=16 by fpbs_intro_star, cpxs_teqx_fpbs_trans, ex3_intro/
 qed-.