renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / s_computation / fqup_weight.ma

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 ec05d1e98572341dd8cc8896257629afec3f4622..69af2d03323e1b56740a28bb849afc0c104d173b 100644 (file)
--- 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.
-                   â¦\83G1, L1, T1â¦\84 â\8a\90+ â¦\83G2, L2, T2â¦\84 â\86\92 â\99¯{G2, L2, T2} < â\99¯{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-.