partial commit in static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / s_computation / fqup_weight.ma

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 c92721f84f7f525a61a2824ee441ab081e599877..ed22b9e12635135eff3e0c7f94acc47da3905f38 100644 (file)
--- 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: â\88\80b,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\8a\90+[b] â¦\83G2,L2,T2â¦\84 →
-                   ♯{G2,L2,T2} < ♯{G1,L1,T1}.
+lemma fqup_fwd_fw: â\88\80b,G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« →
+                   ♯❨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 …. (
-                      â\88\80G1,L1,T1. (â\88\80G2,L2,T2. â¦\83G1,L1,T1â¦\84 â\8a\90+[b] â¦\83G2,L2,T2â¦\84 → Q G2 L2 T2) →
+                      â\88\80G1,L1,T1. (â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« → 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 …. (
-                         â\88\80G1,L1,T1. (â\88\80G2,L2,T2. â¦\83G1,L1,T1â¦\84 â\8a\90+[b] â¦\83G2,L2,T2â¦\84 → Q G2 L2 T2) →
+                         â\88\80G1,L1,T1. (â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â¬\82+[b] â\9dªG2,L2,T2â\9d« → 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-.