- we introduced the pointer_step rc in the perspective of proving

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

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_tps.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_tps.ma
index 91b30b0144485257e3d9209b334f4503c8909494..75792eef02ec7d1152b49b2e7f39ecae87f47f01 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_tps.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/ltpr_tps.ma
@@ -12,14 +12,14 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "Basic_2/reducibility/ltpr_ldrop.ma".
+include "basic_2/reducibility/ltpr_ldrop.ma".
 
 (* CONTEXT-FREE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ********************)
 
 (* Properties concerning parallel substitution on terms *********************)
 
-lemma ltpr_tps_trans: ∀L2,T1,T2,d,e. L2 ⊢ T1 [d, e] ▶ T2 → ∀L1. L1 ➡ L2 →
-                      ∃∃T. L1 ⊢ T1 [d, e] ▶ T & T ➡ T2.
+lemma ltpr_tps_trans: ∀L2,T1,T2,d,e. L2 ⊢ T1 ▶ [d, e] T2 → ∀L1. L1 ➡ L2 →
+                      ∃∃T. L1 ⊢ T1 ▶ [d, e] T & T ➡ T2.
 #L2 #T1 #T2 #d #e #H elim H -L2 -T1 -T2 -d -e
 [ /2 width=3/
 | #L2 #K2 #V2 #W2 #i #d #e #Hdi #Hide #HLK2 #HVW2 #L1 #HL12
@@ -27,7 +27,7 @@ lemma ltpr_tps_trans: ∀L2,T1,T2,d,e. L2 ⊢ T1 [d, e] ▶ T2 → ∀L1. L1 ➡
   elim (ltpr_inv_pair2 … H) -H #K1 #V1 #HK12 #HV12 #H destruct -K2
   elim (lift_total V1 0 (i+1)) #W1 #HVW1
   lapply (tpr_lift … HV12 … HVW1 … HVW2) -V2 /3 width=4/
-| #L2 #I #V1 #V2 #T1 #T2 #d #e #_ #_ #IHV12 #IHT12 #L1 #HL12
+| #L2 #a #I #V1 #V2 #T1 #T2 #d #e #_ #_ #IHV12 #IHT12 #L1 #HL12
   elim (IHV12 … HL12) -IHV12 #V #HV1 #HV2
   elim (IHT12 (L1.ⓑ{I}V) ?) /2 width=1/ -L2 /3 width=5/
 | #L2 #I #V1 #V2 #T1 #T2 #d #e #_ #_ #IHV12 #IHT12 #L1 #HL12
@@ -36,16 +36,16 @@ lemma ltpr_tps_trans: ∀L2,T1,T2,d,e. L2 ⊢ T1 [d, e] ▶ T2 → ∀L1. L1 ➡
 ]
 qed.
 
-lemma ltpr_tps_conf: ∀L1,T1,T2,d,e. L1 ⊢ T1 [d, e] ▶ T2 → ∀L2. L1 ➡ L2 →
-                     ∃∃T. L2 ⊢ T1 [d, e] ▶ T & T2 ➡ T.
+lemma ltpr_tps_conf: ∀L1,T1,T2,d,e. L1 ⊢ T1 ▶ [d, e] T2 → ∀L2. L1 ➡ L2 →
+                     ∃∃T. L2 ⊢ T1 ▶ [d, e] T & T2 ➡ T.
 #L1 #T1 #T2 #d #e #H elim H -L1 -T1 -T2 -d -e
 [ /2 width=3/
 | #L1 #K1 #V1 #W1 #i #d #e #Hdi #Hide #HLK1 #HVW1 #L2 #HL12
-  elim (ltpr_ldrop_conf … HLK1 … HL12) -L1 #X #HLK2 #H
+  elim (ltpr_ldrop_conf … HLK1 … HL12) -L1 #X #H #HLK2
   elim (ltpr_inv_pair1 … H) -H #K2 #V2 #HK12 #HV12 #H destruct -K1
   elim (lift_total V2 0 (i+1)) #W2 #HVW2
   lapply (tpr_lift … HV12 … HVW1 … HVW2) -V1 /3 width=4/
-| #L1 #I #V1 #V2 #T1 #T2 #d #e #_ #_ #IHV12 #IHT12 #L2 #HL12
+| #L1 #a #I #V1 #V2 #T1 #T2 #d #e #_ #_ #IHV12 #IHT12 #L2 #HL12
   elim (IHV12 … HL12) -IHV12 #V #HV1 #HV2
   elim (IHT12 (L2.ⓑ{I}V) ?) /2 width=1/ -L1 /3 width=5/
 | #L1 #I #V1 #V2 #T1 #T2 #d #e #_ #_ #IHV12 #IHT12 #L2 #HL12