X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fs_computation%2Ffqup_weight.ma;h=ed22b9e12635135eff3e0c7f94acc47da3905f38;hb=98e786e1a6bd7b621e37ba7cd4098d4a0a6f8278;hp=25a81dfa8af7319b209f0c98229232417d370be8;hpb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_weight.ma b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_weight.ma
index 25a81dfa8..ed22b9e12 100644
--- a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_weight.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_weight.ma
@@ -19,26 +19,26 @@ include "static_2/s_computation/fqup.ma".
 
 (* Forward lemmas with weight for closures **********************************)
 
-lemma fqup_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ →
-                   ♯{G2, L2, T2} < ♯{G1, L1, T1}.
+lemma fqup_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 @(fqup_ind … H) -G2 -L2 -T2
-/3 width=3 by fqu_fwd_fw, transitive_lt/
+/3 width=3 by fqu_fwd_fw, nlt_trans/
 qed-.
 
 (* Advanced eliminators *****************************************************)
 
 lemma fqup_wf_ind: ∀b. ∀Q:relation3 …. (
-                      ∀G1,L1,T1. (∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
+                      ∀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
+#b #Q #HQ @(wf3_ind_nlt … fw) #x #IHx #G1 #L1 #T1 #H destruct
 /4 width=2 by fqup_fwd_fw/
 qed-.
 
 lemma fqup_wf_ind_eq: ∀b. ∀Q:relation3 …. (
-                         ∀G1,L1,T1. (∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
+                         ∀G1,L1,T1. (∀G2,L2,T2. ❪G1,L1,T1❫ ⬂+[b] ❪G2,L2,T2❫ → Q G2 L2 T2) →
                          ∀G2,L2,T2. G1 = G2 → L1 = L2 → T1 = T2 → Q G2 L2 T2
                       ) → ∀G1,L1,T1. Q G1 L1 T1.
-#b #Q #HQ @(f3_ind … fw) #x #IHx #G1 #L1 #T1 #H destruct
+#b #Q #HQ @(wf3_ind_nlt … fw) #x #IHx #G1 #L1 #T1 #H destruct
 /4 width=7 by fqup_fwd_fw/
 qed-.