X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubv.ma;h=17a22da58e20b23bf0b9057e9dfb6f2463e21de2;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=6549c361e6b61f2b0538efd713608c367ea9de35;hpb=1083ac3b1acac5f1ac1fa40a9a417dd9d268dced;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma
index 6549c361e..17a22da58 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma
@@ -20,7 +20,7 @@ include "basic_2/dynamic/cnv.ma".
 inductive lsubv (a) (h) (G): relation lenv ≝
 | lsubv_atom: lsubv a h G (⋆) (⋆)
 | lsubv_bind: ∀I,L1,L2. lsubv a h G L1 L2 → lsubv a h G (L1.ⓘ{I}) (L2.ⓘ{I})
-| lsubv_beta: ∀L1,L2,W,V. ⦃G, L1⦄ ⊢ ⓝW.V ![a,h] →
+| lsubv_beta: ∀L1,L2,W,V. ⦃G,L1⦄ ⊢ ⓝW.V ![a,h] →
               lsubv a h G L1 L2 → lsubv a h G (L1.ⓓⓝW.V) (L2.ⓛW)
 .
 
@@ -45,7 +45,7 @@ lemma lsubv_inv_atom_sn (a) (h) (G): ∀L2. G ⊢ ⋆ ⫃![a,h] L2 → L2 = ⋆.
 fact lsubv_inv_bind_sn_aux (a) (h) (G): ∀L1,L2. G ⊢ L1 ⫃![a,h] L2 →
                            ∀I,K1. L1 = K1.ⓘ{I} →
                            ∨∨ ∃∃K2. G ⊢ K1 ⫃![a,h] K2 & L2 = K2.ⓘ{I}
-                            | ∃∃K2,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                            | ∃∃K2,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                         G ⊢ K1 ⫃![a,h] K2 &
                                         I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW.
 #a #h #G #L1 #L2 * -L1 -L2
@@ -58,7 +58,7 @@ qed-.
 (* Basic_2A1: uses: lsubsv_inv_pair1 *)
 lemma lsubv_inv_bind_sn (a) (h) (G): ∀I,K1,L2. G ⊢ K1.ⓘ{I} ⫃![a,h] L2 →
                         ∨∨ ∃∃K2. G ⊢ K1 ⫃![a,h] K2 & L2 = K2.ⓘ{I}
-                         | ∃∃K2,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                         | ∃∃K2,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                      G ⊢ K1 ⫃![a,h] K2 &
                                      I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW.
 /2 width=3 by lsubv_inv_bind_sn_aux/ qed-.
@@ -78,7 +78,7 @@ lemma lsubv_inv_atom2 (a) (h) (G): ∀L1. G ⊢ L1 ⫃![a,h] ⋆ → L1 = ⋆.
 fact lsubv_inv_bind_dx_aux (a) (h) (G): ∀L1,L2. G ⊢ L1 ⫃![a,h] L2 →
                            ∀I,K2. L2 = K2.ⓘ{I} →
                            ∨∨ ∃∃K1. G ⊢ K1 ⫃![a,h] K2 & L1 = K1.ⓘ{I}
-                            | ∃∃K1,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                            | ∃∃K1,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                         G ⊢ K1 ⫃![a,h] K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V.
 #a #h #G #L1 #L2 * -L1 -L2
 [ #J #K2 #H destruct
@@ -90,7 +90,7 @@ qed-.
 (* Basic_2A1: uses: lsubsv_inv_pair2 *)
 lemma lsubv_inv_bind_dx (a) (h) (G): ∀I,L1,K2. G ⊢ L1 ⫃![a,h] K2.ⓘ{I} →
                         ∨∨ ∃∃K1. G ⊢ K1 ⫃![a,h] K2 & L1 = K1.ⓘ{I}
-                         | ∃∃K1,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                         | ∃∃K1,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                      G ⊢ K1 ⫃![a,h] K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V.
 /2 width=3 by lsubv_inv_bind_dx_aux/ qed-.
 
@@ -109,3 +109,8 @@ qed-.
 lemma lsubv_refl (a) (h) (G): reflexive … (lsubv a h G).
 #a #h #G #L elim L -L /2 width=1 by lsubv_atom, lsubv_bind/
 qed.
+
+(* Basic_2A1: removed theorems 3:
+              lsubsv_lstas_trans lsubsv_sta_trans
+              lsubsv_fwd_lsubd
+*)