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 1da166cf3009bd39b07d5b703ff120be9e33169c..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 *****************************************************)
@@ -66,15 +66,11 @@ lemma fqu_fwd_length_lref1: ∀G1,G2,L1,L2,T2,i. ⦃G1, L1, #i⦄ ⊃ ⦃G2, L2,
 /2 width=7 by fqu_fwd_length_lref1_aux/
 qed-.
 
-lemma fqu_fwd_gen: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃ ⦃G2, L2, T2⦄ →
-                   |G1| = |G2| → |L1| = |L2| → T1 = T2 → ⊥.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
-[ #I #G #L #V #_ #H elim (plus_xSy_x_false … H)
-| #I #G #L #V #T #_ #_ #H elim (discr_tpair_xy_x … H)
-| #a #I #G #L #V #T #_ #_ #H elim (discr_tpair_xy_y … H)
-| #I #G #L #V #T #_ #_ #H elim (discr_tpair_xy_y … H)
-| #G #L #K #T #U #e #HLK #_ #_ #H
-  lapply (ldrop_fwd_length_lt4 … HLK ?) // >H -L #H
-  elim (lt_refl_false … H)
-]
+(* 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-.