X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Flibrary%2Falgebra%2Fsemigroups.ma;h=12ff9531155cc31d19e9aecb8b2a44bb8ba4885f;hb=f7137d4c9643a496396c5335116179087205ac05;hp=5b461d1a4f43edba6acc9e4dd448f0eceb157243;hpb=7f2444c2670cadafddd8785b687ef312158376b0;p=helm.git

diff --git a/matita/library/algebra/semigroups.ma b/matita/library/algebra/semigroups.ma
index 5b461d1a4..12ff95311 100644
--- a/matita/library/algebra/semigroups.ma
+++ b/matita/library/algebra/semigroups.ma
@@ -23,10 +23,6 @@ record Magma : Type ≝
    op: carrier → carrier → carrier
  }.
 
-notation < "M" for @{ 'carrier $M }.
-interpretation "carrier coercion" 'carrier S =
- (cic:/matita/algebra/semigroups/carrier.con S).
-
 notation "hvbox(a break \middot b)" 
   left associative with precedence 55
 for @{ 'magma_op $a $b }.
@@ -37,17 +33,13 @@ interpretation "magma operation" 'magma_op a b =
 (* Semigroups *)
 
 record isSemiGroup (M:Magma) : Prop ≝
- { associative: associative ? (op M) }.
+ { op_associative: associative ? (op M) }.
 
 record SemiGroup : Type ≝
  { magma:> Magma;
    semigroup_properties:> isSemiGroup magma
  }.
  
-notation < "S" for @{ 'magma $S }.
-interpretation "magma coercion" 'magma S =
- (cic:/matita/algebra/semigroups/magma.con S).
- 
 definition is_left_unit ≝
  λS:SemiGroup. λe:S. ∀x:S. e·x = x.