- we introduced the pointer_step rc in the perspective of proving

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

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_ltpr.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_ltpr.ma
index fcf4de993b76aace208648325c988d4517ee53b7..d3e75f8c0efe4074dc162ba217acba953182f9f4 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_ltpr.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_ltpr.ma
@@ -12,8 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "Basic_2/reducibility/tpr_tpss.ma".
-include "Basic_2/reducibility/cpr.ma".
+include "basic_2/reducibility/tpr_tpss.ma".
+include "basic_2/reducibility/cpr.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
 
@@ -22,8 +22,8 @@ include "Basic_2/reducibility/cpr.ma".
 (* Note: we could invoke tpss_weak_all 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.
+                     ∀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 (tpss_conf_eq … HT2 … HTU) -T /3 width=3/
@@ -37,7 +37,7 @@ elim (tpr_tpss_ltpr … HL12 … HT2) -L1 /3 width=3/
 qed.
 
 lemma cpr_ltpr_conf_tpss: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L1 ⊢ T1 ➡ T2 →
-                          ∀d,e,U1. L1 ⊢ T1 [d, e] ▶* U1 →
+                          ∀d,e,U1. L1 ⊢ T1 ▶* [d, e] U1 →
                           ∃∃U2. L2 ⊢ U1 ➡ U2 & L2 ⊢ T2 ➡ U2.
 #L1 #L2 #HL12 #T1 #T2 #HT12 #d #e #U1 #HTU1
 elim (cpr_ltpr_conf_eq … HT12 … HL12) -HT12 #T #HT1 #HT2