- we introduced the pointer_step rc in the perspective of proving

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / equivalence / cpcs_ltpss.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/equivalence/cpcs_ltpss.ma b/matita/matita/contribs/lambda_delta/basic_2/equivalence/cpcs_ltpss.ma
index 1bec6e57dd36bbd97ff6393fe3643a6d2b57b3c6..43385668bab9aaddb21f3f1094cb57a8111db925 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/equivalence/cpcs_ltpss.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/equivalence/cpcs_ltpss.ma
@@ -12,31 +12,30 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/unfold/ltpss_ltpss.ma".
 include "basic_2/equivalence/cpcs_cpcs.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL EQUIVALENCE ON TERMS **************************)
 
 (* Properties concerning partial unfold on local environments ***************)
 
-lemma ltpss_cpr_conf: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
-                      ∀T1,T2. L1 ⊢ T1 ➡ T2 → L2 ⊢ T1 ⬌* T2.
+lemma ltpss_dx_cpr_conf: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
+                         ∀T1,T2. L1 ⊢ T1 ➡ T2 → L2 ⊢ T1 ⬌* T2.
 #L1 #L2 #d #e #HL12 #T1 #T2 *
-lapply (ltpss_weak_all … HL12)
->(ltpss_fwd_length … HL12) -HL12 #HL12 #T #HT1 #HT2
-elim (ltpss_tpss_conf … HT2 … HL12) -L1 #T0 #HT0 #HT20
+lapply (ltpss_dx_weak_all … HL12)
+>(ltpss_dx_fwd_length … HL12) -HL12 #HL12 #T #HT1 #HT2
+elim (ltpss_dx_tpss_conf … HT2 … HL12) -L1 #T0 #HT0 #HT20
 @(cprs_div … T0) /3 width=3/ (**) (* /4/ is too slow *)
 qed.
 
-lemma ltpss_cprs_conf: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
-                       ∀T1,T2. L1 ⊢ T1 ➡* T2 → L2 ⊢ T1 ⬌* T2.
+lemma ltpss_dx_cprs_conf: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
+                          ∀T1,T2. L1 ⊢ T1 ➡* T2 → L2 ⊢ T1 ⬌* T2.
 #L1 #L2 #d #e #HL12 #T1 #T2 #H @(cprs_ind … H) -T2 //
 #T #T2 #_ #HT2 #IHT1
 @(cpcs_trans … IHT1) -T1 /2 width=5/
 qed.
 
-lemma ltpss_cpcs_conf: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
-                       ∀T1,T2. L1 ⊢ T1 ⬌* T2 → L2 ⊢ T1 ⬌* T2.
+lemma ltpss_dx_cpcs_conf: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
+                          ∀T1,T2. L1 ⊢ T1 ⬌* T2 → L2 ⊢ T1 ⬌* T2.
 #L1 #L2 #d #e #HL12 #T1 #T2 #H
 elim (cpcs_inv_cprs … H) -H #T #HT1 #HT2
 @(cpcs_canc_dx … T) /2 width=5/