- parallel substitution reaxiomatized

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reducibility / cpr_ltpr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_ltpr.ma b/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_ltpr.ma
index d3e75f8c0efe4074dc162ba217acba953182f9f4..ab10e3fc69f2060e7d639eb94048a9e7eccd7c28 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_ltpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_ltpr.ma
@@ -12,20 +12,20 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/reducibility/tpr_tpss.ma".
+include "basic_2/reducibility/ltpr_tpss.ma".
 include "basic_2/reducibility/cpr.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
 
 (* Properties concerning parallel unfold on terms ***************************)
 
-(* Note: we could invoke tpss_weak_all instead of ltpr_fwd_length *)
+(* Note: we could invoke tpss_weak_full instead of ltpr_fwd_length *)
 (* Basic_1: was only: pr2_subst1 *)
 lemma cpr_tpss_ltpr: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L2 ⊢ T1 ➡ T2 →
                      ∀d,e,U1. L1 ⊢ T1 ▶* [d, e] U1 →
                      ∃∃U2. L2 ⊢ U1 ➡ U2 & L2 ⊢ T2 ▶* [d, e] U2.
 #L1 #L2 #HL12 #T1 #T2 * #T #HT1 #HT2 #d #e #U1 #HTU1
-elim (tpr_tpss_ltpr … HL12 … HT1 … HTU1) -L1 -HT1 #U #HU1 #HTU
+elim (ltpr_tpr_tpss_conf … HL12 … HT1 … HTU1) -L1 -HT1 #U #HU1 #HTU
 elim (tpss_conf_eq … HT2 … HTU) -T /3 width=3/
 qed.
 
@@ -33,7 +33,7 @@ lemma cpr_ltpr_conf_eq: ∀L1,T1,T2. L1 ⊢ T1 ➡ T2 → ∀L2. L1 ➡ L2 →
                         ∃∃T. L2 ⊢ T1 ➡ T & T2 ➡ T.
 #L1 #T1 #T2 * #T #HT1 #HT2 #L2 #HL12
 >(ltpr_fwd_length … HL12) in HT2; #HT2
-elim (tpr_tpss_ltpr … HL12 … HT2) -L1 /3 width=3/
+elim (ltpr_tpr_tpss_conf … HL12 … HT2) -L1 /3 width=3/
 qed.
 
 lemma cpr_ltpr_conf_tpss: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L1 ⊢ T1 ➡ T2 →
@@ -42,5 +42,5 @@ lemma cpr_ltpr_conf_tpss: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L1 ⊢ T1 ➡ T2 →
 #L1 #L2 #HL12 #T1 #T2 #HT12 #d #e #U1 #HTU1
 elim (cpr_ltpr_conf_eq … HT12 … HL12) -HT12 #T #HT1 #HT2
 elim (cpr_tpss_ltpr … HL12 … HT1 … HTU1) -L1 -HT1 #U2 #HU12 #HTU2
-lapply (tpss_weak_all … HTU2) -HTU2 #HTU2 /3 width=5/ (**) (* /4 width=5/ is too slow *)
+lapply (tpss_weak_full … HTU2) -HTU2 #HTU2 /3 width=5/ (**) (* /4 width=5/ is too slow *)
 qed.