commit of the "relocation" component with the new definition of ldrop,

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / fqu.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/fqu.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/fqu.ma
index 41c68deaf7e1b1f680e7ec4b5e188a92574015eb..46f274def7807a00e6f11e8822b5696e3a9f4333 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/fqu.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/fqu.ma
@@ -25,7 +25,7 @@ inductive fqu: tri_relation genv lenv term ≝
 | fqu_bind_dx: ∀a,I,G,L,V,T. fqu G L (ⓑ{a,I}V.T) G (L.ⓑ{I}V) T
 | fqu_flat_dx: ∀I,G,L,V,T. fqu G L (ⓕ{I}V.T) G L T
 | fqu_drop   : ∀G,L,K,T,U,e.
-               ⇩[0, e+1] L ≡ K → ⇧[0, e+1] T ≡ U → fqu G L U G K T
+               ⇩[e+1] L ≡ K → ⇧[0, e+1] T ≡ U → fqu G L U G K T
 .
 
 interpretation
@@ -35,12 +35,12 @@ interpretation
 (* Basic properties *********************************************************)
 
 lemma fqu_drop_lt: ∀G,L,K,T,U,e. 0 < e →
-                   ⇩[0, e] L ≡ K → ⇧[0, e] T ≡ U → fqu G L U G K T.
+                   ⇩[e] L ≡ K → ⇧[0, e] T ≡ U → ⦃G, L, U⦄ ⊃ ⦃G, K, T⦄.
 #G #L #K #T #U #e #He >(plus_minus_m_m e 1) /2 width=3 by fqu_drop/
 qed.
 
 lemma fqu_lref_S_lt: ∀I,G,L,V,i. 0 < i → ⦃G, L.ⓑ{I}V, #i⦄ ⊃ ⦃G, L, #(i-1)⦄.
-/3 width=3 by fqu_drop, ldrop_ldrop, lift_lref_ge_minus/
+/3 width=3 by fqu_drop, ldrop_drop, lift_lref_ge_minus/
 qed.
 
 (* Basic forward lemmas *****************************************************)
@@ -65,3 +65,12 @@ qed-.
 lemma fqu_fwd_length_lref1: ∀G1,G2,L1,L2,T2,i. ⦃G1, L1, #i⦄ ⊃ ⦃G2, L2, T2⦄ → |L2| < |L1|.
 /2 width=7 by fqu_fwd_length_lref1_aux/
 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) #n #IHn #G1 #L1 #T1 #H destruct /4 width=1 by fqu_fwd_fw/
+qed-.