update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / lifts_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_vector.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_vector.ma
index 4721eafe0072c3742e19d7cd746094711e747799..f424d38eae4842054661e8da956375eedb2b7fe2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_vector.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_vector.ma
@@ -21,7 +21,7 @@ include "static_2/relocation/lifts.ma".
 inductive liftsv (f:rtmap): relation (list term) ≝
 | liftsv_nil : liftsv f (Ⓔ) (Ⓔ)
 | liftsv_cons: ∀T1s,T2s,T1,T2.
-               â¬\86*[f] T1 ≘ T2 → liftsv f T1s T2s →
+               â\87§*[f] T1 ≘ T2 → liftsv f T1s T2s →
                liftsv f (T1 ⨮ T1s) (T2 ⨮ T2s)
 .
 
@@ -33,18 +33,18 @@ interpretation "generic relocation (term vector)"
 
 (* Basic inversion lemmas ***************************************************)
 
-fact liftsv_inv_nil1_aux: â\88\80f,X,Y. â¬\86*[f] X ≘ Y → X = Ⓔ → Y = Ⓔ.
+fact liftsv_inv_nil1_aux: â\88\80f,X,Y. â\87§*[f] X ≘ Y → X = Ⓔ → Y = Ⓔ.
 #f #X #Y * -X -Y //
 #T1s #T2s #T1 #T2 #_ #_ #H destruct
 qed-.
 
 (* Basic_2A1: includes: liftv_inv_nil1 *)
-lemma liftsv_inv_nil1: â\88\80f,Y. â¬\86*[f] Ⓔ ≘ Y → Y = Ⓔ.
+lemma liftsv_inv_nil1: â\88\80f,Y. â\87§*[f] Ⓔ ≘ Y → Y = Ⓔ.
 /2 width=5 by liftsv_inv_nil1_aux/ qed-.
 
-fact liftsv_inv_cons1_aux: â\88\80f:rtmap. â\88\80X,Y. â¬\86*[f] X ≘ Y →
+fact liftsv_inv_cons1_aux: â\88\80f:rtmap. â\88\80X,Y. â\87§*[f] X ≘ Y →
                            ∀T1,T1s. X = T1 ⨮ T1s →
-                           â\88\83â\88\83T2,T2s. â¬\86*[f] T1 â\89\98 T2 & â¬\86*[f] T1s ≘ T2s &
+                           â\88\83â\88\83T2,T2s. â\87§*[f] T1 â\89\98 T2 & â\87§*[f] T1s ≘ T2s &
                                      Y = T2 ⨮ T2s.
 #f #X #Y * -X -Y
 [ #U1 #U1s #H destruct
@@ -53,22 +53,22 @@ fact liftsv_inv_cons1_aux: ∀f:rtmap. ∀X,Y. ⬆*[f] X ≘ Y →
 qed-.
 
 (* Basic_2A1: includes: liftv_inv_cons1 *)
-lemma liftsv_inv_cons1: â\88\80f:rtmap. â\88\80T1,T1s,Y. â¬\86*[f] T1 ⨮ T1s ≘ Y →
-                        â\88\83â\88\83T2,T2s. â¬\86*[f] T1 â\89\98 T2 & â¬\86*[f] T1s ≘ T2s &
+lemma liftsv_inv_cons1: â\88\80f:rtmap. â\88\80T1,T1s,Y. â\87§*[f] T1 ⨮ T1s ≘ Y →
+                        â\88\83â\88\83T2,T2s. â\87§*[f] T1 â\89\98 T2 & â\87§*[f] T1s ≘ T2s &
                                   Y = T2 ⨮ T2s.
 /2 width=3 by liftsv_inv_cons1_aux/ qed-.
 
-fact liftsv_inv_nil2_aux: â\88\80f,X,Y. â¬\86*[f] X ≘ Y → Y = Ⓔ → X = Ⓔ.
+fact liftsv_inv_nil2_aux: â\88\80f,X,Y. â\87§*[f] X ≘ Y → Y = Ⓔ → X = Ⓔ.
 #f #X #Y * -X -Y //
 #T1s #T2s #T1 #T2 #_ #_ #H destruct
 qed-.
 
-lemma liftsv_inv_nil2: â\88\80f,X. â¬\86*[f] X ≘ Ⓔ → X = Ⓔ.
+lemma liftsv_inv_nil2: â\88\80f,X. â\87§*[f] X ≘ Ⓔ → X = Ⓔ.
 /2 width=5 by liftsv_inv_nil2_aux/ qed-.
 
-fact liftsv_inv_cons2_aux: â\88\80f:rtmap. â\88\80X,Y. â¬\86*[f] X ≘ Y →
+fact liftsv_inv_cons2_aux: â\88\80f:rtmap. â\88\80X,Y. â\87§*[f] X ≘ Y →
                            ∀T2,T2s. Y = T2 ⨮ T2s →
-                           â\88\83â\88\83T1,T1s. â¬\86*[f] T1 â\89\98 T2 & â¬\86*[f] T1s ≘ T2s &
+                           â\88\83â\88\83T1,T1s. â\87§*[f] T1 â\89\98 T2 & â\87§*[f] T1s ≘ T2s &
                                      X = T1 ⨮ T1s.
 #f #X #Y * -X -Y
 [ #U2 #U2s #H destruct
@@ -76,14 +76,14 @@ fact liftsv_inv_cons2_aux: ∀f:rtmap. ∀X,Y. ⬆*[f] X ≘ Y →
 ]
 qed-.
 
-lemma liftsv_inv_cons2: â\88\80f:rtmap. â\88\80X,T2,T2s. â¬\86*[f] X ≘ T2 ⨮ T2s →
-                        â\88\83â\88\83T1,T1s. â¬\86*[f] T1 â\89\98 T2 & â¬\86*[f] T1s ≘ T2s &
+lemma liftsv_inv_cons2: â\88\80f:rtmap. â\88\80X,T2,T2s. â\87§*[f] X ≘ T2 ⨮ T2s →
+                        â\88\83â\88\83T1,T1s. â\87§*[f] T1 â\89\98 T2 & â\87§*[f] T1s ≘ T2s &
                                   X = T1 ⨮ T1s.
 /2 width=3 by liftsv_inv_cons2_aux/ qed-.
 
 (* Basic_1: was: lifts1_flat (left to right) *)
-lemma lifts_inv_applv1: â\88\80f:rtmap. â\88\80V1s,U1,T2. â¬\86*[f] Ⓐ V1s.U1 ≘ T2 →
-                        â\88\83â\88\83V2s,U2. â¬\86*[f] V1s â\89\98 V2s & â¬\86*[f] U1 ≘ U2 &
+lemma lifts_inv_applv1: â\88\80f:rtmap. â\88\80V1s,U1,T2. â\87§*[f] Ⓐ V1s.U1 ≘ T2 →
+                        â\88\83â\88\83V2s,U2. â\87§*[f] V1s â\89\98 V2s & â\87§*[f] U1 ≘ U2 &
                                   T2 = Ⓐ V2s.U2.
 #f #V1s elim V1s -V1s
 [ /3 width=5 by ex3_2_intro, liftsv_nil/
@@ -93,8 +93,8 @@ lemma lifts_inv_applv1: ∀f:rtmap. ∀V1s,U1,T2. ⬆*[f] Ⓐ V1s.U1 ≘ T2 →
 ]
 qed-.
 
-lemma lifts_inv_applv2: â\88\80f:rtmap. â\88\80V2s,U2,T1. â¬\86*[f] T1 ≘ Ⓐ V2s.U2 →
-                        â\88\83â\88\83V1s,U1. â¬\86*[f] V1s â\89\98 V2s & â¬\86*[f] U1 ≘ U2 &
+lemma lifts_inv_applv2: â\88\80f:rtmap. â\88\80V2s,U2,T1. â\87§*[f] T1 ≘ Ⓐ V2s.U2 →
+                        â\88\83â\88\83V1s,U1. â\87§*[f] V1s â\89\98 V2s & â\87§*[f] U1 ≘ U2 &
                                   T1 = Ⓐ V1s.U1.
 #f #V2s elim V2s -V2s
 [ /3 width=5 by ex3_2_intro, liftsv_nil/
@@ -107,7 +107,7 @@ qed-.
 (* Basic properties *********************************************************)
 
 (* Basic_2A1: includes: liftv_total *)
-lemma liftsv_total: â\88\80f. â\88\80T1s:list term. â\88\83T2s. â¬\86*[f] T1s ≘ T2s.
+lemma liftsv_total: â\88\80f. â\88\80T1s:list term. â\88\83T2s. â\87§*[f] T1s ≘ T2s.
 #f #T1s elim T1s -T1s
 [ /2 width=2 by liftsv_nil, ex_intro/
 | #T1 #T1s * #T2s #HT12s
@@ -116,15 +116,15 @@ lemma liftsv_total: ∀f. ∀T1s:list term. ∃T2s. ⬆*[f] T1s ≘ T2s.
 qed-.
 
 (* Basic_1: was: lifts1_flat (right to left) *)
-lemma lifts_applv: â\88\80f:rtmap. â\88\80V1s,V2s. â¬\86*[f] V1s ≘ V2s →
-                   â\88\80T1,T2. â¬\86*[f] T1 ≘ T2 →
-                   â¬\86*[f] Ⓐ V1s.T1 ≘ Ⓐ V2s.T2.
+lemma lifts_applv: â\88\80f:rtmap. â\88\80V1s,V2s. â\87§*[f] V1s ≘ V2s →
+                   â\88\80T1,T2. â\87§*[f] T1 ≘ T2 →
+                   â\87§*[f] Ⓐ V1s.T1 ≘ Ⓐ V2s.T2.
 #f #V1s #V2s #H elim H -V1s -V2s /3 width=1 by lifts_flat/
 qed.
 
-lemma liftsv_split_trans: â\88\80f,T1s,T2s. â¬\86*[f] T1s ≘ T2s →
+lemma liftsv_split_trans: â\88\80f,T1s,T2s. â\87§*[f] T1s ≘ T2s →
                           ∀f1,f2. f2 ⊚ f1 ≘ f →
-                          â\88\83â\88\83Ts. â¬\86*[f1] T1s â\89\98 Ts & â¬\86*[f2] Ts ≘ T2s.
+                          â\88\83â\88\83Ts. â\87§*[f1] T1s â\89\98 Ts & â\87§*[f2] Ts ≘ T2s.
 #f #T1s #T2s #H elim H -T1s -T2s
 [ /2 width=3 by liftsv_nil, ex2_intro/
 | #T1s #T2s #T1 #T2 #HT12 #_ #IH #f1 #f2 #Hf