- support for candidates of reducibility continues ...

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / reducibility / ltpr_ldrop.ma

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 b24c0bad2f4ea83a10062dca1d543b990e2dde25..08ac62aafa2f7f3182817bc9c31c96caf463d5b6 100644 (file)
--- 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: â\88\80L1,K1,d,e. â\86\93[d, e] L1 â\89¡ K1 â\86\92 â\88\80L2. L1 â\87\92 L2 â\86\92
-                       â\88\83â\88\83K2. â\86\93[d, e] L2 â\89¡ K2 & K1 â\87\92 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: â\88\80L1,K1,d,e. â\87\93[d, e] L1 â\89¡ K1 â\86\92 â\88\80L2. L1 â\87\92 L2 â\86\92
+                       â\88\83â\88\83K2. â\87\93[d, e] L2 â\89¡ K2 & K1 â\87\92 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: â\88\80L1,K1,d,e. â\86\93[d, e] L1 â\89¡ K1 â\86\92 â\88\80K2. K1 â\87\92 K2 â\86\92
-                        â\88\83â\88\83L2. â\86\93[d, e] L2 â\89¡ K2 & L1 â\87\92 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: â\88\80L1,K1,d,e. â\87\93[d, e] L1 â\89¡ K1 â\86\92 â\88\80K2. K1 â\87\92 K2 â\86\92
+                        â\88\83â\88\83L2. â\87\93[d, e] L2 â\89¡ K2 & L1 â\87\92 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.