X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Freducibility%2Fltpr_ldrop.ma;h=9dd48e06272474bf33b13ee14e42b90c38f8b703;hb=d833e40ce45e301a01ddd9ea66c29fb2b34bb685;hp=485c00fd1f473956b6e0e4a21e4c47aefa554326;hpb=f75be90562ddd964ef7ed43b956eb908f3133e3a;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr_ldrop.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr_ldrop.ma
index 485c00fd1..9dd48e062 100644
--- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr_ldrop.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr_ldrop.ma
@@ -18,35 +18,35 @@ include "Basic_2/reducibility/ltpr.ma".
 (* CONTEXT-FREE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ********************)
 
 (* Basic_1: was: wcpr0_ldrop *)
-lemma ltpr_ldrop_conf: ∀L1,K1,d,e. ↓[d, e] L1 ≡ K1 → ∀L2. L1 ⇒ L2 →
-                      ∃∃K2. ↓[d, e] L2 ≡ K2 & K1 ⇒ K2.
-#L1 #K1 #d #e #H elim H -H L1 K1 d e
-[ #d #e #X #H >(ltpr_inv_atom1 … H) -H /2/
+lemma ltpr_ldrop_conf: ∀L1,K1,d,e. ⇩[d, e] L1 ≡ K1 → ∀L2. L1 ➡ L2 →
+                       ∃∃K2. ⇩[d, e] L2 ≡ K2 & K1 ➡ K2.
+#L1 #K1 #d #e #H elim H -L1 -K1 -d -e
+[ #d #e #X #H >(ltpr_inv_atom1 … H) -H /2 width=3/
 | #K1 #I #V1 #X #H
   elim (ltpr_inv_pair1 … H) -H #L2 #V2 #HL12 #HV12 #H destruct /3 width=5/
 | #L1 #K1 #I #V1 #e #_ #IHLK1 #X #H
-  elim (ltpr_inv_pair1 … H) -H #L2 #V2 #HL12 #HV12 #H destruct -X;
-  elim (IHLK1 … HL12) -IHLK1 HL12 /3/
+  elim (ltpr_inv_pair1 … H) -H #L2 #V2 #HL12 #HV12 #H destruct
+  elim (IHLK1 … HL12) -L1 /3 width=3/
 | #L1 #K1 #I #V1 #W1 #d #e #_ #HWV1 #IHLK1 #X #H
-  elim (ltpr_inv_pair1 … H) -H #L2 #V2 #HL12 #HV12 #H destruct -X;
-  elim (tpr_inv_lift … HV12 … HWV1) -HV12 HWV1;
-  elim (IHLK1 … HL12) -IHLK1 HL12 /3 width=5/
+  elim (ltpr_inv_pair1 … H) -H #L2 #V2 #HL12 #HV12 #H destruct
+  elim (tpr_inv_lift … HV12 … HWV1) -V1
+  elim (IHLK1 … HL12) -L1 /3 width=5/
 ]
 qed.
 
 (* Basic_1: was: wcpr0_ldrop_back *)
-lemma ltpr_ldrop_trans: ∀L1,K1,d,e. ↓[d, e] L1 ≡ K1 → ∀K2. K1 ⇒ K2 →
-                       ∃∃L2. ↓[d, e] L2 ≡ K2 & L1 ⇒ L2.
-#L1 #K1 #d #e #H elim H -H L1 K1 d e
-[ #d #e #X #H >(ltpr_inv_atom1 … H) -H /2/
+lemma ltpr_ldrop_trans: ∀L1,K1,d,e. ⇩[d, e] L1 ≡ K1 → ∀K2. K1 ➡ K2 →
+                        ∃∃L2. ⇩[d, e] L2 ≡ K2 & L1 ➡ L2.
+#L1 #K1 #d #e #H elim H -L1 -K1 -d -e
+[ #d #e #X #H >(ltpr_inv_atom1 … H) -H /2 width=3/
 | #K1 #I #V1 #X #H
   elim (ltpr_inv_pair1 … H) -H #K2 #V2 #HK12 #HV12 #H destruct /3 width=5/
 | #L1 #K1 #I #V1 #e #_ #IHLK1 #K2 #HK12
-  elim (IHLK1 … HK12) -IHLK1 HK12 /3 width=5/
+  elim (IHLK1 … HK12) -K1 /3 width=5/
 | #L1 #K1 #I #V1 #W1 #d #e #_ #HWV1 #IHLK1 #X #H
-  elim (ltpr_inv_pair1 … H) -H #K2 #W2 #HK12 #HW12 #H destruct -X;
+  elim (ltpr_inv_pair1 … H) -H #K2 #W2 #HK12 #HW12 #H destruct
   elim (lift_total W2 d e) #V2 #HWV2
-  lapply (tpr_lift … HW12 … HWV1 … HWV2) -HW12 HWV1;
-  elim (IHLK1 … HK12) -IHLK1 HK12 /3 width=5/
+  lapply (tpr_lift … HW12 … HWV1 … HWV2) -W1
+  elim (IHLK1 … HK12) -K1 /3 width=5/
 ]
 qed.