X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba.ma;h=8c8aa228686d6863a7bf349e8e271e15742f7484;hb=f282b35b958c9602fb1f47e5677b5805a046ac76;hp=6d437b8c22c809dedf028d8bb83d9cae16838503;hpb=cb5ca7ea4e826e9331eabeaea44353caab00071e;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
index 6d437b8c2..8c8aa2286 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
@@ -31,7 +31,7 @@ interpretation
 
 (* Basic inversion lemmas ***************************************************)
 
-fact lsuba_inv_atom1_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → L1 = ⋆ → L2 = ⋆.
+fact lsuba_inv_atom1_aux: ∀G,L1,L2. G ⊢ L1 ⁝⫃ L2 → L1 = ⋆ → L2 = ⋆.
 #G #L1 #L2 * -L1 -L2
 [ //
 | #I #L1 #L2 #V #_ #H destruct
@@ -39,13 +39,13 @@ fact lsuba_inv_atom1_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → L1 = ⋆ → L2 = 
 ]
 qed-.
 
-lemma lsuba_inv_atom1: ∀G,L2. G ⊢ ⋆ ⁝⊑ L2 → L2 = ⋆.
+lemma lsuba_inv_atom1: ∀G,L2. G ⊢ ⋆ ⁝⫃ L2 → L2 = ⋆.
 /2 width=4 by lsuba_inv_atom1_aux/ qed-.
 
-fact lsuba_inv_pair1_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
-                          (∃∃K2. G ⊢ K1 ⁝⊑ K2 & L2 = K2.ⓑ{I}X) ∨
+fact lsuba_inv_pair1_aux: ∀G,L1,L2. G ⊢ L1 ⁝⫃ L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
+                          (∃∃K2. G ⊢ K1 ⁝⫃ K2 & L2 = K2.ⓑ{I}X) ∨
                           ∃∃K2,W,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                      G ⊢ K1 ⁝⊑ K2 & I = Abbr & L2 = K2.ⓛW & X = ⓝW.V.
+                                      G ⊢ K1 ⁝⫃ K2 & I = Abbr & L2 = K2.ⓛW & X = ⓝW.V.
 #G #L1 #L2 * -L1 -L2
 [ #J #K1 #X #H destruct
 | #I #L1 #L2 #V #HL12 #J #K1 #X #H destruct /3 width=3/
@@ -53,13 +53,13 @@ fact lsuba_inv_pair1_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → ∀I,K1,X. L1 = K1.
 ]
 qed-.
 
-lemma lsuba_inv_pair1: ∀I,G,K1,L2,X. G ⊢ K1.ⓑ{I}X ⁝⊑ L2 →
-                       (∃∃K2. G ⊢ K1 ⁝⊑ K2 & L2 = K2.ⓑ{I}X) ∨
-                       ∃∃K2,W,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⁝⊑ K2 &
+lemma lsuba_inv_pair1: ∀I,G,K1,L2,X. G ⊢ K1.ⓑ{I}X ⁝⫃ L2 →
+                       (∃∃K2. G ⊢ K1 ⁝⫃ K2 & L2 = K2.ⓑ{I}X) ∨
+                       ∃∃K2,W,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⁝⫃ K2 &
                                    I = Abbr & L2 = K2.ⓛW & X = ⓝW.V.
 /2 width=3 by lsuba_inv_pair1_aux/ qed-.
 
-fact lsuba_inv_atom2_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → L2 = ⋆ → L1 = ⋆.
+fact lsuba_inv_atom2_aux: ∀G,L1,L2. G ⊢ L1 ⁝⫃ L2 → L2 = ⋆ → L1 = ⋆.
 #G #L1 #L2 * -L1 -L2
 [ //
 | #I #L1 #L2 #V #_ #H destruct
@@ -67,13 +67,13 @@ fact lsuba_inv_atom2_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → L2 = ⋆ → L1 = 
 ]
 qed-.
 
-lemma lsubc_inv_atom2: ∀G,L1. G ⊢ L1 ⁝⊑ ⋆ → L1 = ⋆.
+lemma lsubc_inv_atom2: ∀G,L1. G ⊢ L1 ⁝⫃ ⋆ → L1 = ⋆.
 /2 width=4 by lsuba_inv_atom2_aux/ qed-.
 
-fact lsuba_inv_pair2_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → ∀I,K2,W. L2 = K2.ⓑ{I}W →
-                          (∃∃K1. G ⊢ K1 ⁝⊑ K2 & L1 = K1.ⓑ{I}W) ∨
+fact lsuba_inv_pair2_aux: ∀G,L1,L2. G ⊢ L1 ⁝⫃ L2 → ∀I,K2,W. L2 = K2.ⓑ{I}W →
+                          (∃∃K1. G ⊢ K1 ⁝⫃ K2 & L1 = K1.ⓑ{I}W) ∨
                           ∃∃K1,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                    G ⊢ K1 ⁝⊑ K2 & I = Abst & L1 = K1.ⓓⓝW.V.
+                                    G ⊢ K1 ⁝⫃ K2 & I = Abst & L1 = K1.ⓓⓝW.V.
 #G #L1 #L2 * -L1 -L2
 [ #J #K2 #U #H destruct
 | #I #L1 #L2 #V #HL12 #J #K2 #U #H destruct /3 width=3/
@@ -81,20 +81,20 @@ fact lsuba_inv_pair2_aux: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → ∀I,K2,W. L2 = K2.
 ]
 qed-.
 
-lemma lsuba_inv_pair2: ∀I,G,L1,K2,W. G ⊢ L1 ⁝⊑ K2.ⓑ{I}W →
-                       (∃∃K1. G ⊢ K1 ⁝⊑ K2 & L1 = K1.ⓑ{I}W) ∨
-                       ∃∃K1,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⁝⊑ K2 &
+lemma lsuba_inv_pair2: ∀I,G,L1,K2,W. G ⊢ L1 ⁝⫃ K2.ⓑ{I}W →
+                       (∃∃K1. G ⊢ K1 ⁝⫃ K2 & L1 = K1.ⓑ{I}W) ∨
+                       ∃∃K1,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⁝⫃ K2 &
                                  I = Abst & L1 = K1.ⓓⓝW.V.
 /2 width=3 by lsuba_inv_pair2_aux/ qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma lsuba_fwd_lsubr: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → L1 ⊑ L2.
+lemma lsuba_fwd_lsubr: ∀G,L1,L2. G ⊢ L1 ⁝⫃ L2 → L1 ⫃ L2.
 #G #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
 qed-.
 
 (* Basic properties *********************************************************)
 
-lemma lsuba_refl: ∀G,L. G ⊢ L ⁝⊑ L.
+lemma lsuba_refl: ∀G,L. G ⊢ L ⁝⫃ L.
 #G #L elim L -L // /2 width=1/
 qed.