update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
index e70619a8d9742df72fc7cec6c60a23711bfbc3dc..e12dae65165469a9d5281df9bbe4d35f34bfadb5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_computation/cpxs_tdeq.ma".
+include "basic_2/rt_computation/cpxs_teqx.ma".
 include "basic_2/rt_computation/fpbs_cpxs.ma".
 include "basic_2/rt_computation/fpbg_fpbs.ma".
 
@@ -21,13 +21,13 @@ include "basic_2/rt_computation/fpbg_fpbs.ma".
 (* Properties with unbound context-sensitive parallel rt-computation ********)
 
 (* Basic_2A1: was: cpxs_fpbg *)
-lemma cpxs_tdneq_fpbg (h) (o): ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
-                               (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄.
-#h #o #G #L #T1 #T2 #H #H0
-elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0
-/4 width=5 by cpxs_tdeq_fpbs, fpb_cpx, ex2_3_intro/
+lemma cpxs_tneqx_fpbg (h): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 →
+                           (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ >[h] ❪G,L,T2❫.
+#h #G #L #T1 #T2 #H #H0
+elim (cpxs_tneqx_fwd_step_sn … H … H0) -H -H0
+/4 width=5 by cpxs_teqx_fpbs, fpb_cpx, ex2_3_intro/
 qed.
 
-lemma cpxs_fpbg_trans (h) (o): ∀G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
-                               ∀G2,L2,T2. ⦃G1, L1, T⦄ >[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄.
+lemma cpxs_fpbg_trans (h): ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈*[h] T →
+                           ∀G2,L2,T2. ❪G1,L1,T❫ >[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.