commit by user andrea

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / reduction / cpr_cpr.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reduction/cpr_cpr.ma b/matita/matita/contribs/lambda_delta/Basic_2/reduction/cpr_cpr.ma
index 08620900765d54f2097db20b105bd7d17ae9a78f..ff802bfb3c5d600b05f0d0d266daced9a1373aec 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/reduction/cpr_cpr.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/reduction/cpr_cpr.ma
@@ -12,8 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "Basic-2/reduction/tpr_tpr.ma".
-include "Basic-2/reduction/cpr.ma".
+include "Basic_2/reduction/tpr_tpr.ma".
+include "Basic_2/reduction/cpr.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
 
@@ -25,12 +25,12 @@ lemma cpr_bind_sn: ∀I,L,V1,V2,T1,T2. L ⊢ V1 ⇒ V2 → T1 ⇒ T2 →
 @ex2_1_intro [2: @(tpr_delta … HV1 HT12) | skip ] /2/ (* /3 width=5/ is too slow *)
 qed.
 
-(* Basic-1: was only: pr2_gen_cbind *)
+(* Basic_1: was only: pr2_gen_cbind *)
 lemma cpr_bind_dx: ∀I,L,V1,V2,T1,T2. V1 ⇒ V2 → L. 𝕓{I} V2 ⊢ T1 ⇒ T2 →
                    L ⊢ 𝕓{I} V1. T1 ⇒ 𝕓{I} V2. T2.
 #I #L #V1 #V2 #T1 #T2 #HV12 * #T #HT1 normalize #HT2
 elim (tpss_split_up … HT2 1 ? ?) -HT2 // #T0 <minus_n_O #HT0 normalize <minus_plus_m_m #HT02
-lapply (tpss_leq_repl_dx … HT0 (⋆. 𝕓{I} V2) ?) -HT0 /2/ #HT0
+lapply (tpss_lsubs_conf … HT0 (⋆. 𝕓{I} V2) ?) -HT0 /2/ #HT0
 lapply (tpss_tps … HT0) -HT0 #HT0
 @ex2_1_intro [2: @(tpr_delta … HV12 HT1 HT0) | skip | /2/ ] (**) (* /3 width=5/ is too slow *)
 qed.
@@ -46,7 +46,7 @@ qed.
 
 (* Main properties **********************************************************)
 
-(* Basic-1: was: pr2_confluence *)
+(* Basic_1: was: pr2_confluence *)
 theorem cpr_conf: ∀L,U0,T1,T2. L ⊢ U0 ⇒ T1 → L ⊢ U0 ⇒ T2 →
                   ∃∃T. L ⊢ T1 ⇒ T & L ⊢ T2 ⇒ T.
 #L #U0 #T1 #T2 * #U1 #HU01 #HUT1 * #U2 #HU02 #HUT2