some restyling ...

[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 afa9995d00274748ef58eb8cf823e52c019b5759..a08244671f39314be833ccefa859a5e5a5912c22 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
@@ -21,9 +21,9 @@ 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,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⦄.
+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
@@ -35,8 +35,8 @@ qed-.
 (* Inversion lemmas with degree-based equivalence for closures **************)
 
 (* Basic_2A1: uses: fpb_inv_fleq *)
-lemma fpb_inv_fdeq: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ →
-                    ⦃G1, L1, T1⦄ ≛ ⦃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/