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

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / lsubc.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc.ma
index 854a79ce6a73bc44514ab01619152415e3d54c28..e43f81978f3f7e61c233a7faec5ab4c5f51a5b0c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc.ma
@@ -31,7 +31,7 @@ interpretation
 
 (* Basic inversion lemmas ***************************************************)
 
-fact lsubc_inv_atom1_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â\8a\91[RP] L2 → L1 = ⋆ → L2 = ⋆.
+fact lsubc_inv_atom1_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â«\83[RP] L2 → L1 = ⋆ → L2 = ⋆.
 #RP #G #L1 #L2 * -L1 -L2
 [ //
 | #I #L1 #L2 #V #_ #H destruct
@@ -40,13 +40,13 @@ fact lsubc_inv_atom1_aux: ∀RP,G,L1,L2. G ⊢ L1 ⊑[RP] L2 → L1 = ⋆ → L2
 qed-.
 
 (* Basic_1: was just: csubc_gen_sort_r *)
-lemma lsubc_inv_atom1: â\88\80RP,G,L2. G â\8a¢ â\8b\86 â\8a\91[RP] L2 → L2 = ⋆.
+lemma lsubc_inv_atom1: â\88\80RP,G,L2. G â\8a¢ â\8b\86 â«\83[RP] L2 → L2 = ⋆.
 /2 width=5 by lsubc_inv_atom1_aux/ qed-.
 
-fact lsubc_inv_pair1_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â\8a\91[RP] L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
-                          (â\88\83â\88\83K2. G â\8a¢ K1 â\8a\91[RP] K2 & L2 = K2.ⓑ{I}X) ∨
+fact lsubc_inv_pair1_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â«\83[RP] L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
+                          (â\88\83â\88\83K2. G â\8a¢ K1 â«\83[RP] K2 & L2 = K2.ⓑ{I}X) ∨
                           ∃∃K2,V,W,A. ⦃G, K1, V⦄ ϵ[RP] 〚A〛 & ⦃G, K1, W⦄ ϵ[RP] 〚A〛 & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                      G â\8a¢ K1 â\8a\91[RP] K2 &
+                                      G â\8a¢ K1 â«\83[RP] K2 &
                                       L2 = K2. ⓛW & X = ⓝW.V & I = Abbr.
 #RP #G #L1 #L2 * -L1 -L2
 [ #I #K1 #V #H destruct
@@ -56,14 +56,14 @@ fact lsubc_inv_pair1_aux: ∀RP,G,L1,L2. G ⊢ L1 ⊑[RP] L2 → ∀I,K1,X. L1 =
 qed-.
 
 (* Basic_1: was: csubc_gen_head_r *)
-lemma lsubc_inv_pair1: â\88\80RP,I,G,K1,L2,X. G â\8a¢ K1.â\93\91{I}X â\8a\91[RP] L2 →
-                       (â\88\83â\88\83K2. G â\8a¢ K1 â\8a\91[RP] K2 & L2 = K2.ⓑ{I}X) ∨
+lemma lsubc_inv_pair1: â\88\80RP,I,G,K1,L2,X. G â\8a¢ K1.â\93\91{I}X â«\83[RP] L2 →
+                       (â\88\83â\88\83K2. G â\8a¢ K1 â«\83[RP] K2 & L2 = K2.ⓑ{I}X) ∨
                        ∃∃K2,V,W,A. ⦃G, K1, V⦄ ϵ[RP] 〚A〛 & ⦃G, K1, W⦄ ϵ[RP] 〚A〛 & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                   G â\8a¢ K1 â\8a\91[RP] K2 &
+                                   G â\8a¢ K1 â«\83[RP] K2 &
                                    L2 = K2.ⓛW & X = ⓝW.V & I = Abbr.
 /2 width=3 by lsubc_inv_pair1_aux/ qed-.
 
-fact lsubc_inv_atom2_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â\8a\91[RP] L2 → L2 = ⋆ → L1 = ⋆.
+fact lsubc_inv_atom2_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â«\83[RP] L2 → L2 = ⋆ → L1 = ⋆.
 #RP #G #L1 #L2 * -L1 -L2
 [ //
 | #I #L1 #L2 #V #_ #H destruct
@@ -72,13 +72,13 @@ fact lsubc_inv_atom2_aux: ∀RP,G,L1,L2. G ⊢ L1 ⊑[RP] L2 → L2 = ⋆ → L1
 qed-.
 
 (* Basic_1: was just: csubc_gen_sort_l *)
-lemma lsubc_inv_atom2: â\88\80RP,G,L1. G â\8a¢ L1 â\8a\91[RP] ⋆ → L1 = ⋆.
+lemma lsubc_inv_atom2: â\88\80RP,G,L1. G â\8a¢ L1 â«\83[RP] ⋆ → L1 = ⋆.
 /2 width=5 by lsubc_inv_atom2_aux/ qed-.
 
-fact lsubc_inv_pair2_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â\8a\91[RP] L2 → ∀I,K2,W. L2 = K2.ⓑ{I} W →
-                          (â\88\83â\88\83K1. G â\8a¢ K1 â\8a\91[RP] K2 & L1 = K1. ⓑ{I} W) ∨
+fact lsubc_inv_pair2_aux: â\88\80RP,G,L1,L2. G â\8a¢ L1 â«\83[RP] L2 → ∀I,K2,W. L2 = K2.ⓑ{I} W →
+                          (â\88\83â\88\83K1. G â\8a¢ K1 â«\83[RP] K2 & L1 = K1. ⓑ{I} W) ∨
                           ∃∃K1,V,A. ⦃G, K1, V⦄ ϵ[RP] 〚A〛 & ⦃G, K1, W⦄ ϵ[RP] 〚A〛 & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                    G â\8a¢ K1 â\8a\91[RP] K2 &
+                                    G â\8a¢ K1 â«\83[RP] K2 &
                                     L1 = K1.ⓓⓝW.V & I = Abst.
 #RP #G #L1 #L2 * -L1 -L2
 [ #I #K2 #W #H destruct
@@ -88,17 +88,17 @@ fact lsubc_inv_pair2_aux: ∀RP,G,L1,L2. G ⊢ L1 ⊑[RP] L2 → ∀I,K2,W. L2 =
 qed-.
 
 (* Basic_1: was just: csubc_gen_head_l *)
-lemma lsubc_inv_pair2: â\88\80RP,I,G,L1,K2,W. G â\8a¢ L1 â\8a\91[RP] K2.ⓑ{I} W →
-                       (â\88\83â\88\83K1. G â\8a¢ K1 â\8a\91[RP] K2 & L1 = K1.ⓑ{I} W) ∨
+lemma lsubc_inv_pair2: â\88\80RP,I,G,L1,K2,W. G â\8a¢ L1 â«\83[RP] K2.ⓑ{I} W →
+                       (â\88\83â\88\83K1. G â\8a¢ K1 â«\83[RP] K2 & L1 = K1.ⓑ{I} W) ∨
                        ∃∃K1,V,A. ⦃G, K1, V⦄ ϵ[RP] 〚A〛 & ⦃G, K1, W⦄ ϵ[RP] 〚A〛 & ⦃G, K2⦄ ⊢ W ⁝ A &
-                                 G â\8a¢ K1 â\8a\91[RP] K2 &
+                                 G â\8a¢ K1 â«\83[RP] K2 &
                                  L1 = K1.ⓓⓝW.V & I = Abst.
 /2 width=3 by lsubc_inv_pair2_aux/ qed-.
 
 (* Basic properties *********************************************************)
 
 (* Basic_1: was just: csubc_refl *)
-lemma lsubc_refl: â\88\80RP,G,L. G â\8a¢ L â\8a\91[RP] L.
+lemma lsubc_refl: â\88\80RP,G,L. G â\8a¢ L â«\83[RP] L.
 #RP #G #L elim L -L // /2 width=1/
 qed.