X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_teqx.ma;h=5ccc22d538ef330bbebfa0e6d6d44b600395ab08;hp=178a2c440e8e29c742db8e99e30efe37bcd6606a;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

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 178a2c440..5ccc22d53 100644
--- 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: ∀h,U1,T1. U1 ≛ T1 → ∀G,L,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 →
-                       ∃∃U2. ⦃G,L⦄ ⊢ U1 ⬈*[h] U2 & U2 ≛ T2.
+lemma teqx_cpxs_trans: ∀h,U1,T1. U1 ≛ T1 → ∀G,L,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 →
+                       ∃∃U2. ❪G,L❫ ⊢ 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: ∀h,G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) →
-                              ∃∃T,T0. ⦃G,L⦄ ⊢ T1 ⬈[h] T & T1 ≛ T → ⊥ & ⦃G,L⦄ ⊢ T ⬈*[h] T0 & T0 ≛ T2.
+lemma cpxs_tneqx_fwd_step_sn: ∀h,G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) →
+                              ∃∃T,T0. ❪G,L❫ ⊢ T1 ⬈[h] T & T1 ≛ T → ⊥ & ❪G,L❫ ⊢ 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