X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fs_computation%2Ffqus_weight.ma;h=b76988981d1af850e157414452b407d6a976cee9;hb=98e786e1a6bd7b621e37ba7cd4098d4a0a6f8278;hp=67ba92a4b7462c45135b2388772c4205ecbb7617;hpb=c7b50fec51b9a25d5bc536f44e54179fd53efb44;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_weight.ma b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_weight.ma
index 67ba92a4b..b76988981 100644
--- a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_weight.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_weight.ma
@@ -19,17 +19,17 @@ include "static_2/s_computation/fqus.ma".
 
 (* Forward lemmas with weight for closures **********************************)
 
-lemma fqus_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂*[b] ⦃G2,L2,T2⦄ →
-                   ♯{G2,L2,T2} ≤ ♯{G1,L1,T1}.
+lemma fqus_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 @(fqus_ind … H) -L2 -T2
-/3 width=3 by fquq_fwd_fw, transitive_le/
+/3 width=3 by fquq_fwd_fw, nle_trans/
 qed-.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma fqus_inv_refl_atom3: ∀b,I,G,L,X. ⦃G,L,⓪{I}⦄ ⬂*[b] ⦃G,L,X⦄ → ⓪{I} = X.
+lemma fqus_inv_refl_atom3: ∀b,I,G,L,X. ❪G,L,⓪[I]❫ ⬂*[b] ❪G,L,X❫ → ⓪[I] = X.
 #b #I #G #L #X #H elim (fqus_inv_fqu_sn … H) -H * //
 #G0 #L0 #T0 #H1 #H2 lapply (fqu_fwd_fw … H1) lapply (fqus_fwd_fw … H2) -H2 -H1
-#H2 #H1 lapply (le_to_lt_to_lt … H2 H1) -G0 -L0 -T0
-#H elim (lt_le_false … H) -H /2 width=1 by monotonic_le_plus_r/
+#H2 #H1 lapply (nle_nlt_trans … H2 H1) -G0 -L0 -T0
+#H elim (nlt_ge_false … H) -H /2 width=1 by nle_plus_bi_sn/
 qed-.