mod change (-x)

[helm.git] / helm / software / matita / contribs / ng_assembly / universe / universe.ma

diff --git a/helm/software/matita/contribs/ng_assembly/universe/universe.ma b/helm/software/matita/contribs/ng_assembly/universe/universe.ma
old mode 100755 (executable)
new mode 100644 (file)
index 061cccd..0db667a
--- a/helm/software/matita/contribs/ng_assembly/universe/universe.ma
+++ b/helm/software/matita/contribs/ng_assembly/universe/universe.ma
@@ -16,7 +16,7 @@
 (*                          Progetto FreeScale                            *)
 (*                                                                        *)
 (*   Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
-(*   Ultima modifica: 05/08/2009                                          *)
+(*   Sviluppo: 2008-2010                                                  *)
 (*                                                                        *)
 (* ********************************************************************** *)
 
@@ -104,18 +104,13 @@ nlemma neqSUN_to_neq : ∀l.∀x,y:S_UN l.eq_SUN l x y = false → x ≠ y.
 nqed.
 
 (* eqxx_to_eq universale *)
-(* serve l'assioma di equivalenza sulle dimostrazioni *)
+(* !!! evidente ma come si fa? *)
+naxiom eqSUN_to_eq_aux : ∀l,x,y.((getelem l x) = (getelem l y)) → x = y.
+
 nlemma eqSUN_to_eq : ∀l.∀x,y:S_UN l.eq_SUN l x y = true → x = y.
- #l; #x; nelim x;
- #u1; #dim1;
- #y; nelim y;
- #u2; #dim2;
- nchange with ((eq_nat u1 u2 = true) → ?);
- #H;
- nrewrite > (eqnat_to_eq u1 u2 H) in dim1:(%) ⊢ %;
- #dim1;
- napply (peqv_ind ? dim1 (λ_.?) ? dim2 (peqv_ax ? dim1 dim2));
- napply refl_eq.
+ #l; #x; #y;
+ nchange with ((eq_nat (getelem ? x) (getelem ? y) = true) → x = y);
+ #H; napply (eqSUN_to_eq_aux l x y (eqnat_to_eq … H)).
 nqed.
 
 (* neq_to_neqxx universale *)
@@ -194,13 +189,13 @@ nlet rec farg2 (T:Type) (l,lfix:ne_list nat) on l ≝
 
 (* esempio0: universo ottale *)
 ndefinition oct0 ≝ O.
-ndefinition oct1 ≝ S O.
-ndefinition oct2 ≝ S (S O).
-ndefinition oct3 ≝ S (S (S O)).
-ndefinition oct4 ≝ S (S (S (S O))).
-ndefinition oct5 ≝ S (S (S (S (S O)))).
-ndefinition oct6 ≝ S (S (S (S (S (S O))))).
-ndefinition oct7 ≝ S (S (S (S (S (S (S O)))))).
+ndefinition oct1 ≝ nat1.
+ndefinition oct2 ≝ nat2.
+ndefinition oct3 ≝ nat3.
+ndefinition oct4 ≝ nat4.
+ndefinition oct5 ≝ nat5.
+ndefinition oct6 ≝ nat6.
+ndefinition oct7 ≝ nat7.
 
 ndefinition oct_UN ≝ « oct0 ; oct1 ; oct2 ; oct3 ; oct4 ; oct5 ; oct6 £ oct7 ».