X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Fsets%2Fpartitions.ma;h=3eea5010166d4d61c5ff51e98646fd3c8ca94e36;hb=a5c71699f1d0cf63a769c71dd8b8cd5dfff1933d;hp=84d320e7f1f9763edf9ff4d3d55361cdab0fbebf;hpb=899222fb394af9ee449cd6618e6e38ce30b45ca8;p=helm.git

diff --git a/helm/software/matita/nlibrary/sets/partitions.ma b/helm/software/matita/nlibrary/sets/partitions.ma
index 84d320e7f..3eea50101 100644
--- a/helm/software/matita/nlibrary/sets/partitions.ma
+++ b/helm/software/matita/nlibrary/sets/partitions.ma
@@ -128,9 +128,9 @@ nlemma partition_splits_card:
     nlapply (Hc y I); *; #index; *; #Hi1; #Hi2;
     nlapply (f_sur ???? f ? Hi1); *; #nindex; *; #Hni1; #Hni2;
     nlapply (f_sur ???? (fi nindex) y ?)
-     [ alias symbol "refl" = "refl".
-alias symbol "prop1" = "prop11".
-alias symbol "prop2" = "prop21 mem".
+     [ alias symbol "refl" (instance 3) = "refl".
+alias symbol "prop2" (instance 2) = "prop21".
+alias symbol "prop1" (instance 4) = "prop11".
 napply (. #‡(†?));##[##2: napply Hni2 |##1: ##skip | nassumption]##]
     *; #nindex2; *; #Hni21; #Hni22;
     nletin xxx ≝ (plus (big_plus (minus n nindex) (λi.λ_.s (S (plus i nindex)))) nindex2);
@@ -146,7 +146,7 @@ napply (. #‡(†?));##[##2: napply Hni2 |##1: ##skip | nassumption]##]
         [##2: *; #E1; #E2; nrewrite > E1; nrewrite > E2; //
         | nassumption ]##]
 ##| #x; #x'; nnormalize in ⊢ (? → ? → %); #Hx; #Hx'; #E;
-    ncut(∀i1,i2,i1',i2'. i1 ∈ Nat_ (S n) → i1' ∈ Nat_ (S n) → i2 ∈ Nat_ (s i1) → i2' ∈ Nat_ (s i1') → eq_rel (carr A) (eq A) (fi i1 i2) (fi i1' i2') → i1=i1' ∧ i2=i2');
+    ncut(∀i1,i2,i1',i2'. i1 ∈ Nat_ (S n) → i1' ∈ Nat_ (S n) → i2 ∈ Nat_ (s i1) → i2' ∈ Nat_ (s i1') → eq_rel (carr A) (eq0 A) (fi i1 i2) (fi i1' i2') → i1=i1' ∧ i2=i2');
     ##[ #i1; #i2; #i1'; #i2'; #Hi1; #Hi1'; #Hi2; #Hi2'; #E;
        nlapply(disjoint … P (f i1) (f i1') ???)
        [##2,3: napply f_closed; //
@@ -179,7 +179,7 @@ ndefinition partition_of_compatible_equivalence_relation:
   | napply Full_set
   | napply mk_unary_morphism1
      [ #a; napply mk_ext_powerclass
-        [ napply {x | R x a}
+        [ napply {x | rel ? R x a}
         | #x; #x'; #H; nnormalize; napply mk_iff; #K; nelim daemon]
    ##| #a; #a'; #H; napply conj; #x; nnormalize; #K [ nelim daemon | nelim daemon]##]
 ##| #x; #_; nnormalize; /3/