update for the article

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
index aa206225c6475e422dd4b2e8b1648958ae186fd0..33262e95a3a6837d6cb389ef2dcbaff9178b4105 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_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/cpxs_cpxs.ma".
 include "basic_2/rt_computation/csx_csx.ma".
 
@@ -35,7 +35,7 @@ qed-.
 
 (* Eliminators with unbound context-sensitive rt-computation for terms ******)
 
-lemma csx_ind_cpxs_tdeq: ∀h,G,L. ∀Q:predicate term.
+lemma csx_ind_cpxs_teqx: ∀h,G,L. ∀Q:predicate term.
                          (∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
                                (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                          ) →
@@ -43,18 +43,18 @@ lemma csx_ind_cpxs_tdeq: ∀h,G,L. ∀Q:predicate term.
                          ∀T0. ⦃G,L⦄ ⊢ T1 ⬈*[h] T0 → ∀T2. T0 ≛ T2 → Q T2.
 #h #G #L #Q #IH #T1 #H @(csx_ind … H) -T1
 #T1 #HT1 #IH1 #T0 #HT10 #T2 #HT02
-@IH -IH /3 width=3 by csx_cpxs_trans, csx_tdeq_trans/ -HT1 #V2 #HTV2 #HnTV2
-lapply (tdeq_tdneq_trans … HT02 … HnTV2) -HnTV2 #H
-elim (tdeq_cpxs_trans … HT02 … HTV2) -T2 #V0 #HTV0 #HV02
-lapply (tdneq_tdeq_canc_dx … H … HV02) -H #HnTV0
-elim (tdeq_dec T1 T0) #H
-[ lapply (tdeq_tdneq_trans … H … HnTV0) -H -HnTV0 #Hn10
+@IH -IH /3 width=3 by csx_cpxs_trans, csx_teqx_trans/ -HT1 #V2 #HTV2 #HnTV2
+lapply (teqx_tneqx_trans … HT02 … HnTV2) -HnTV2 #H
+elim (teqx_cpxs_trans … HT02 … HTV2) -T2 #V0 #HTV0 #HV02
+lapply (tneqx_teqx_canc_dx … H … HV02) -H #HnTV0
+elim (teqx_dec T1 T0) #H
+[ lapply (teqx_tneqx_trans … H … HnTV0) -H -HnTV0 #Hn10
   lapply (cpxs_trans … HT10 … HTV0) -T0 #H10
-  elim (cpxs_tdneq_fwd_step_sn … H10 …  Hn10) -H10 -Hn10
-  /3 width=8 by tdeq_trans/
-| elim (cpxs_tdneq_fwd_step_sn … HT10 … H) -HT10 -H #T #V #HT1 #HnT1 #HTV #HVT0
-  elim (tdeq_cpxs_trans … HVT0 … HTV0) -T0
-  /3 width=8 by cpxs_trans, tdeq_trans/
+  elim (cpxs_tneqx_fwd_step_sn … H10 …  Hn10) -H10 -Hn10
+  /3 width=8 by teqx_trans/
+| elim (cpxs_tneqx_fwd_step_sn … HT10 … H) -HT10 -H #T #V #HT1 #HnT1 #HTV #HVT0
+  elim (teqx_cpxs_trans … HVT0 … HTV0) -T0
+  /3 width=8 by cpxs_trans, teqx_trans/
 ]
 qed-.
 
@@ -65,5 +65,5 @@ lemma csx_ind_cpxs: ∀h,G,L. ∀Q:predicate term.
                     ) →
                     ∀T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →  Q T.
 #h #G #L #Q #IH #T #HT
-@(csx_ind_cpxs_tdeq … IH … HT) -IH -HT // (**) (* full auto fails *)
+@(csx_ind_cpxs_teqx … IH … HT) -IH -HT // (**) (* full auto fails *)
 qed-.