milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / fpb_rdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma
index eab2408fe4291c8d46cb0482f3fd34d046c0b629..2546dd37e11a3e468ef332886b77458a8d0b43f9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma
@@ -19,12 +19,12 @@ include "basic_2/rt_transition/fpb.ma".
 
 (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
 
-(* Properties with degree-based equivalence for local environments **********)
+(* Properties with sort-irrelevant equivalence for local environments *******)
 
-lemma tdeq_fpb_trans: ∀h,o,U2,U1. U2 ≛[h, o] U1 →
-                      ∀G1,G2,L1,L2,T1. ⦃G1, L1, U1⦄ ≻[h, o] ⦃G2, L2, T1⦄ → 
-                      ∃∃L,T2. ⦃G1, L1, U2⦄ ≻[h, o] ⦃G2, L, T2⦄ & T2 ≛[h, o] T1 & L ≛[h, o, T1] L2.
-#h #o #U2 #U1 #HU21 #G1 #G2 #L1 #L2 #T1 * -G2 -L2 -T1
+lemma tdeq_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
 [ #G2 #L2 #T1 #H
   elim (tdeq_fqu_trans … H … HU21) -H
   /3 width=5 by fpb_fqu, ex3_2_intro/
@@ -36,14 +36,14 @@ lemma tdeq_fpb_trans: ∀h,o,U2,U1. U2 ≛[h, o] U1 →
 qed-.
 
 (* Basic_2A1: was just: lleq_fpb_trans *)
-lemma rdeq_fpb_trans: ∀h,o,F,K1,K2,T. K1 ≛[h, o, T] K2 →
-                      ∀G,L2,U. ⦃F, K2, T⦄ ≻[h, o] ⦃G, L2, U⦄ →
-                      ∃∃L1,U0. ⦃F, K1, T⦄ ≻[h, o] ⦃G, L1, U0⦄ & U0 ≛[h, o] U & L1 ≛[h, o, U] L2.
-#h #o #F #K1 #K2 #T #HT #G #L2 #U * -G -L2 -U
+lemma rdeq_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
 [ #G #L2 #U #H2 elim (rdeq_fqu_trans … H2 … HT) -K2
   /3 width=5 by fpb_fqu, ex3_2_intro/
 | #U #HTU #HnTU elim (rdeq_cpx_trans … HT … HTU) -HTU
-  /5 width=10 by fpb_cpx, cpx_rdeq_conf_sn, tdeq_trans, tdeq_rdeq_conf, ex3_2_intro/
+  /5 width=11 by fpb_cpx, cpx_rdeq_conf_sn, tdeq_trans, tdeq_rdeq_conf, ex3_2_intro/ (**) (* time: 36s on dev *)
 | #L2 #HKL2 #HnKL2 elim (rdeq_lpx_trans … HKL2 … HT) -HKL2
   /6 width=5 by fpb_lpx, (* 2x *) rdeq_canc_sn, ex3_2_intro/
 ]