X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fs_transition%2Ffqu_weight.ma;h=f342603698dbb103e2ba0cb517cee75dc39fa705;hb=98e786e1a6bd7b621e37ba7cd4098d4a0a6f8278;hp=3b9964b46ce54263e3fcf1f84b371a1e845771ed;hpb=a454837a256907d2f83d42ced7be847e10361ea9;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_weight.ma b/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_weight.ma
index 3b9964b46..f34260369 100644
--- a/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_weight.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_weight.ma
@@ -20,18 +20,18 @@ include "static_2/s_transition/fqu.ma".
 
 (* Forward lemmas with weight for closures **********************************)
 
-lemma fqu_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L2,T2⦄ →
-                  ♯{G2,L2,T2} < ♯{G1,L1,T1}.
+lemma fqu_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ →
+                  ♯❨G2,L2,T2❩ < ♯❨G1,L1,T1❩.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 //
 #I #I1 #I2 #G #L #HI12 normalize in ⊢ (?%%); -I1
-<(lifts_fwd_tw … HI12) /3 width=1 by monotonic_lt_plus_r, monotonic_lt_plus_l/
+<(lifts_fwd_tw … HI12) /3 width=1 by nlt_plus_bi_sn, nlt_plus_bi_dx/
 qed-.
 
 (* Advanced eliminators *****************************************************)
 
 lemma fqu_wf_ind: ∀b. ∀Q:relation3 …. (
-                     ∀G1,L1,T1. (∀G2,L2,T2. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L2,T2⦄ → Q G2 L2 T2) →
-		                 Q G1 L1 T1
-		              ) → ∀G1,L1,T1. Q G1 L1 T1.
-#b #Q #HQ @(f3_ind … fw) #x #IHx #G1 #L1 #T1 #H destruct /4 width=2 by fqu_fwd_fw/
+                     ∀G1,L1,T1. (∀G2,L2,T2. ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ → Q G2 L2 T2) →
+                                 Q G1 L1 T1
+                              ) → ∀G1,L1,T1. Q G1 L1 T1.
+#b #Q #HQ @(wf3_ind_nlt … fw) #x #IHx #G1 #L1 #T1 #H destruct /4 width=2 by fqu_fwd_fw/
 qed-.