X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb_reqx.ma;h=14a0f8098fba2a99a67f675ce7b927e0b5ef4ec7;hb=613d8642b1154dde0c026cbdcd96568910198251;hp=0cc359e488f30c3e010d21cf4f02cefa7a1e2632;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_reqx.ma
index 0cc359e48..14a0f8098 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_reqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_reqx.ma
@@ -21,29 +21,31 @@ include "basic_2/rt_transition/fpb.ma".
 
 (* Properties with sort-irrelevant equivalence for local environments *******)
 
-lemma teqx_fpb_trans: ∀h,U2,U1. U2 ≛ U1 →
-                      ∀G1,G2,L1,L2,T1. ❪G1,L1,U1❫ ≻[h] ❪G2,L2,T1❫ →
-                      ∃∃L,T2. ❪G1,L1,U2❫ ≻[h] ❪G2,L,T2❫ & T2 ≛ T1 & L ≛[T1] L2.
-#h #U2 #U1 #HU21 #G1 #G2 #L1 #L2 #T1 * -G2 -L2 -T1
+lemma teqx_fpb_trans:
+      ∀U2,U1. U2 ≛ U1 →
+      ∀G1,G2,L1,L2,T1. ❪G1,L1,U1❫ ≻ ❪G2,L2,T1❫ →
+      ∃∃L,T2. ❪G1,L1,U2❫ ≻ ❪G2,L,T2❫ & T2 ≛ T1 & L ≛[T1] L2.
+#U2 #U1 #HU21 #G1 #G2 #L1 #L2 #T1 * -G2 -L2 -T1
 [ #G2 #L2 #T1 #H
   elim (teqx_fqu_trans … H … HU21) -H
   /3 width=5 by fpb_fqu, ex3_2_intro/
 | #T1 #HUT1 #HnUT1
-  elim (teqx_cpx_trans … HU21 … HUT1) -HUT1
+  lapply (teqx_cpx_trans … HU21 … HUT1) -HUT1
   /6 width=5 by fpb_cpx, teqx_canc_sn, teqx_trans, ex3_2_intro/
-| /6 width=5 by fpb_lpx, rpx_teqx_div, teqx_reqx_conf, ex3_2_intro/
+| /6 width=5 by fpb_lpx, rpx_teqx_div, teqx_reqx_conf_sn, ex3_2_intro/
 ]
 qed-.
 
 (* Basic_2A1: was just: lleq_fpb_trans *)
-lemma reqx_fpb_trans: ∀h,F,K1,K2,T. K1 ≛[T] K2 →
-                      ∀G,L2,U. ❪F,K2,T❫ ≻[h] ❪G,L2,U❫ →
-                      ∃∃L1,U0. ❪F,K1,T❫ ≻[h] ❪G,L1,U0❫ & U0 ≛ U & L1 ≛[U] L2.
-#h #F #K1 #K2 #T #HT #G #L2 #U * -G -L2 -U
+lemma reqx_fpb_trans:
+      ∀F,K1,K2,T. K1 ≛[T] K2 →
+      ∀G,L2,U. ❪F,K2,T❫ ≻ ❪G,L2,U❫ →
+      ∃∃L1,U0. ❪F,K1,T❫ ≻ ❪G,L1,U0❫ & U0 ≛ U & L1 ≛[U] L2.
+#F #K1 #K2 #T #HT #G #L2 #U * -G -L2 -U
 [ #G #L2 #U #H2 elim (reqx_fqu_trans … H2 … HT) -K2
   /3 width=5 by fpb_fqu, ex3_2_intro/
-| #U #HTU #HnTU elim (reqx_cpx_trans … HT … HTU) -HTU
-  /5 width=11 by fpb_cpx, cpx_reqx_conf_sn, teqx_trans, teqx_reqx_conf, ex3_2_intro/ (**) (* time: 36s on dev *)
+| #U #HTU #HnTU lapply (reqx_cpx_trans … HT … HTU) -HTU
+  /5 width=11 by fpb_cpx, cpx_reqx_conf_sn, teqx_trans, teqx_reqx_conf_sn, ex3_2_intro/ (**) (* time: 36s on dev *)
 | #L2 #HKL2 #HnKL2 elim (reqx_lpx_trans … HKL2 … HT) -HKL2
   /6 width=5 by fpb_lpx, (* 2x *) reqx_canc_sn, ex3_2_intro/
 ]