X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fs_computation%2Ffqup_weight.ma;h=69af2d03323e1b56740a28bb849afc0c104d173b;hp=ec05d1e98572341dd8cc8896257629afec3f4622;hb=222044da28742b24584549ba86b1805a87def070;hpb=5275f55f5ec528edbb223834f3ec2cf1d3ce9b84

diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqup_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqup_weight.ma
index ec05d1e98..69af2d033 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqup_weight.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqup_weight.ma
@@ -19,24 +19,26 @@ include "basic_2/s_computation/fqup.ma".
 
 (* Forward lemmas with weight for closures **********************************)
 
-lemma fqup_fwd_fw: ∀G1,G2,L1,L2,T1,T2.
-                   ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → ♯{G2, L2, T2} < ♯{G1, L1, T1}.
-#G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
+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/
 qed-.
 
 (* Advanced eliminators *****************************************************)
 
-lemma fqup_wf_ind: ∀R:relation3 …. (
-                      ∀G1,L1,T1. (∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → R G2 L2 T2) →
-                      R G1 L1 T1
-                   ) → ∀G1,L1,T1. R G1 L1 T1.
-#R #HR @(f3_ind … fw) #x #IHx #G1 #L1 #T1 #H destruct /4 width=1 by fqup_fwd_fw/
+lemma fqup_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 fqup_fwd_fw/
 qed-.
 
-lemma fqup_wf_ind_eq: ∀R:relation3 …. (
-                         ∀G1,L1,T1. (∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → R G2 L2 T2) →
-                         ∀G2,L2,T2. G1 = G2 → L1 = L2 → T1 = T2 → R G2 L2 T2
-                      ) → ∀G1,L1,T1. R G1 L1 T1.
-#R #HR @(f3_ind … fw) #x #IHx #G1 #L1 #T1 #H destruct /4 width=7 by fqup_fwd_fw/
+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) →
+                         ∀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
+/4 width=7 by fqup_fwd_fw/
 qed-.