update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqx.ma
index 178a2c440e8e29c742db8e99e30efe37bcd6606a..5ccc22d538ef330bbebfa0e6d6d44b600395ab08 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqx.ma
@@ -19,8 +19,8 @@ include "basic_2/rt_computation/cpxs.ma".
 
 (* Properties with sort-irrelevant equivalence for terms ********************)
 
-lemma teqx_cpxs_trans: â\88\80h,U1,T1. U1 â\89\9b T1 â\86\92 â\88\80G,L,T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T2 →
-                       â\88\83â\88\83U2. â¦\83G,Lâ¦\84 ⊢ U1 ⬈*[h] U2 & U2 ≛ T2.
+lemma teqx_cpxs_trans: â\88\80h,U1,T1. U1 â\89\9b T1 â\86\92 â\88\80G,L,T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T2 →
+                       â\88\83â\88\83U2. â\9dªG,Lâ\9d« ⊢ U1 ⬈*[h] U2 & U2 ≛ T2.
 #h #U1 #T1 #HUT1 #G #L #T2 #HT12 @(cpxs_ind … HT12) -T2 /2 width=3 by ex2_intro/
 #T #T2 #_ #HT2 * #U #HU1 #HUT elim (teqx_cpx_trans … HUT … HT2) -T -T1
 /3 width=3 by ex2_intro, cpxs_strap1/
@@ -28,8 +28,8 @@ qed-.
 
 (* Note: this requires teqx to be symmetric *)
 (* Nasic_2A1: uses: cpxs_neq_inv_step_sn *)
-lemma cpxs_tneqx_fwd_step_sn: â\88\80h,G,L,T1,T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) →
-                              â\88\83â\88\83T,T0. â¦\83G,Lâ¦\84 â\8a¢ T1 â¬\88[h] T & T1 â\89\9b T â\86\92 â\8a¥ & â¦\83G,Lâ¦\84 ⊢ T ⬈*[h] T0 & T0 ≛ T2.
+lemma cpxs_tneqx_fwd_step_sn: â\88\80h,G,L,T1,T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) →
+                              â\88\83â\88\83T,T0. â\9dªG,Lâ\9d« â\8a¢ T1 â¬\88[h] T & T1 â\89\9b T â\86\92 â\8a¥ & â\9dªG,Lâ\9d« ⊢ T ⬈*[h] T0 & T0 ≛ T2.
 #h #G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
 [ #H elim H -H //
 | #T1 #T0 #HT10 #HT02 #IH #Hn12