renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / s_transition / fqu_weight.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu_weight.ma
index 93148750f5544f527d8ae52189a25eef0eb2bd0d..8f6d321a252290b46d953d7365a611631212b7af 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu_weight.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu_weight.ma
@@ -20,17 +20,18 @@ include "basic_2/s_transition/fqu.ma".
 
 (* Forward lemmas with weight for closures **********************************)
 
-lemma fqu_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 elim H -G1 -G2 -L1 -L2 -T1 -T2 //
-#I #I1 #I2 #G #L #V #HI12 normalize in ⊢ (?%%); -I
-<(lifts_fwd_tw … HI12) -I1 /3 width=1 by monotonic_lt_plus_r, monotonic_lt_plus_l/
+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/
 qed-.
 
 (* Advanced eliminators *****************************************************)
 
-lemma fqu_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 fqu_fwd_fw/
+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/
 qed-.