milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma
index a0d0419803cb9a2cf6a61055e7805b63a5b3e2ff..afa9995d00274748ef58eb8cf823e52c019b5759 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fdeq.ma
@@ -21,10 +21,10 @@ include "basic_2/rt_transition/fpb_rdeq.ma".
 (* Properties with degree-based equivalence for closures ********************)
 
 (* Basic_2A1: uses: fleq_fpb_trans *)
-lemma fdeq_fpb_trans: ∀h,o,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄ ≛[h, o] ⦃F2, K2, T2⦄ →
-                      ∀G2,L2,U2. ⦃F2, K2, T2⦄ ≻[h, o] ⦃G2, L2, U2⦄ →
-                      ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ ≻[h, o] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄ ≛[h, o] ⦃G2, L2, U2⦄.
-#h #o #F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2
+lemma fdeq_fpb_trans: ∀h,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄ ≛ ⦃F2, K2, T2⦄ →
+                      ∀G2,L2,U2. ⦃F2, K2, T2⦄ ≻[h] ⦃G2, L2, U2⦄ →
+                      ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ ≻[h] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄ ≛ ⦃G2, L2, U2⦄.
+#h #F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2
 #K2 #T2 #HK12 #HT12 #G2 #L2 #U2 #H12
 elim (tdeq_fpb_trans … HT12 … H12) -T2 #K0 #T0 #H #HT0 #HK0
 elim (rdeq_fpb_trans … HK12 … H) -K2 #L0 #U0 #H #HUT0 #HLK0
@@ -35,9 +35,9 @@ qed-.
 (* Inversion lemmas with degree-based equivalence for closures **************)
 
 (* Basic_2A1: uses: fpb_inv_fleq *)
-lemma fpb_inv_fdeq: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ →
-                    ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⊥.
-#h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
+lemma fpb_inv_fdeq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ →
+                    ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄ → ⊥.
+#h #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
 [ #G2 #L2 #T2 #H12 #H elim (fdeq_inv_gen_sn … H) -H
   /3 width=11 by rdeq_fwd_length, fqu_inv_tdeq/
 | #T2 #_ #HnT #H elim (fdeq_inv_gen_sn … H) -H /2 width=1 by/