- the relation for pointwise extensions now takes a binder as argument

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsuba.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
index 6d437b8c22c809dedf028d8bb83d9cae16838503..8c8aa228686d6863a7bf349e8e271e15742f7484 100644 (file)
--- 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: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → L1 = ⋆ → L2 = ⋆.
+fact lsuba_inv_atom1_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ«\83 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: â\88\80G,L2. G â\8a¢ â\8b\86 â\81\9dâ\8a\91 L2 → L2 = ⋆.
+lemma lsuba_inv_atom1: â\88\80G,L2. G â\8a¢ â\8b\86 â\81\9dâ«\83 L2 → L2 = ⋆.
 /2 width=4 by lsuba_inv_atom1_aux/ qed-.
 
-fact lsuba_inv_pair1_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
-                          (â\88\83â\88\83K2. G â\8a¢ K1 â\81\9dâ\8a\91 K2 & L2 = K2.ⓑ{I}X) ∨
+fact lsuba_inv_pair1_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ«\83 L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
+                          (â\88\83â\88\83K2. G â\8a¢ K1 â\81\9dâ«\83 K2 & L2 = K2.ⓑ{I}X) ∨
                           ∃∃K2,W,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                      G â\8a¢ K1 â\81\9dâ\8a\91 K2 & I = Abbr & L2 = K2.ⓛW & X = ⓝW.V.
+                                      G â\8a¢ K1 â\81\9dâ«\83 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: â\88\80I,G,K1,L2,X. G â\8a¢ K1.â\93\91{I}X â\81\9dâ\8a\91 L2 →
-                       (â\88\83â\88\83K2. G â\8a¢ K1 â\81\9dâ\8a\91 K2 & L2 = K2.ⓑ{I}X) ∨
-                       â\88\83â\88\83K2,W,V,A. â¦\83G, K1â¦\84 â\8a¢ â\93\9dW.V â\81\9d A & â¦\83G, K2â¦\84 â\8a¢ W â\81\9d A & G â\8a¢ K1 â\81\9dâ\8a\91 K2 &
+lemma lsuba_inv_pair1: â\88\80I,G,K1,L2,X. G â\8a¢ K1.â\93\91{I}X â\81\9dâ«\83 L2 →
+                       (â\88\83â\88\83K2. G â\8a¢ K1 â\81\9dâ«\83 K2 & L2 = K2.ⓑ{I}X) ∨
+                       â\88\83â\88\83K2,W,V,A. â¦\83G, K1â¦\84 â\8a¢ â\93\9dW.V â\81\9d A & â¦\83G, K2â¦\84 â\8a¢ W â\81\9d A & G â\8a¢ K1 â\81\9dâ«\83 K2 &
                                    I = Abbr & L2 = K2.ⓛW & X = ⓝW.V.
 /2 width=3 by lsuba_inv_pair1_aux/ qed-.
 
-fact lsuba_inv_atom2_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → L2 = ⋆ → L1 = ⋆.
+fact lsuba_inv_atom2_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ«\83 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: â\88\80G,L1. G â\8a¢ L1 â\81\9dâ\8a\91 ⋆ → L1 = ⋆.
+lemma lsubc_inv_atom2: â\88\80G,L1. G â\8a¢ L1 â\81\9dâ«\83 ⋆ → L1 = ⋆.
 /2 width=4 by lsuba_inv_atom2_aux/ qed-.
 
-fact lsuba_inv_pair2_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → ∀I,K2,W. L2 = K2.ⓑ{I}W →
-                          (â\88\83â\88\83K1. G â\8a¢ K1 â\81\9dâ\8a\91 K2 & L1 = K1.ⓑ{I}W) ∨
+fact lsuba_inv_pair2_aux: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ«\83 L2 → ∀I,K2,W. L2 = K2.ⓑ{I}W →
+                          (â\88\83â\88\83K1. G â\8a¢ K1 â\81\9dâ«\83 K2 & L1 = K1.ⓑ{I}W) ∨
                           ∃∃K1,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                    G â\8a¢ K1 â\81\9dâ\8a\91 K2 & I = Abst & L1 = K1.ⓓⓝW.V.
+                                    G â\8a¢ K1 â\81\9dâ«\83 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: â\88\80I,G,L1,K2,W. G â\8a¢ L1 â\81\9dâ\8a\91 K2.ⓑ{I}W →
-                       (â\88\83â\88\83K1. G â\8a¢ K1 â\81\9dâ\8a\91 K2 & L1 = K1.ⓑ{I}W) ∨
-                       â\88\83â\88\83K1,V,A. â¦\83G, K1â¦\84 â\8a¢ â\93\9dW.V â\81\9d A & â¦\83G, K2â¦\84 â\8a¢ W â\81\9d A & G â\8a¢ K1 â\81\9dâ\8a\91 K2 &
+lemma lsuba_inv_pair2: â\88\80I,G,L1,K2,W. G â\8a¢ L1 â\81\9dâ«\83 K2.ⓑ{I}W →
+                       (â\88\83â\88\83K1. G â\8a¢ K1 â\81\9dâ«\83 K2 & L1 = K1.ⓑ{I}W) ∨
+                       â\88\83â\88\83K1,V,A. â¦\83G, K1â¦\84 â\8a¢ â\93\9dW.V â\81\9d A & â¦\83G, K2â¦\84 â\8a¢ W â\81\9d A & G â\8a¢ K1 â\81\9dâ«\83 K2 &
                                  I = Abst & L1 = K1.ⓓⓝW.V.
 /2 width=3 by lsuba_inv_pair2_aux/ qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma lsuba_fwd_lsubr: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 â\86\92 L1 â\8a\91 L2.
+lemma lsuba_fwd_lsubr: â\88\80G,L1,L2. G â\8a¢ L1 â\81\9dâ«\83 L2 â\86\92 L1 â«\83 L2.
 #G #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
 qed-.
 
 (* Basic properties *********************************************************)
 
-lemma lsuba_refl: â\88\80G,L. G â\8a¢ L â\81\9dâ\8a\91 L.
+lemma lsuba_refl: â\88\80G,L. G â\8a¢ L â\81\9dâ«\83 L.
 #G #L elim L -L // /2 width=1/
 qed.