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[helm.git] / helm / software / matita / library / algebra / monoids.ma

diff --git a/helm/software/matita/library/algebra/monoids.ma b/helm/software/matita/library/algebra/monoids.ma
index a80ee5fb06e40723f2f9e6051c255b9a3fa2a36d..fe35eeb6709fea8092269d6035f470f6136c9523 100644 (file)
--- a/helm/software/matita/library/algebra/monoids.ma
+++ b/helm/software/matita/library/algebra/monoids.ma
@@ -12,8 +12,6 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/algebra/monoids/".
-
 include "algebra/semigroups.ma".
 
 record PreMonoid : Type ≝
@@ -34,21 +32,17 @@ record Monoid : Type ≝
    monoid_properties:> isMonoid premonoid 
  }.
 
-notation "1" with precedence 89
-for @{ 'munit }.
-
-interpretation "Monoid unit" 'munit =
- (cic:/matita/algebra/monoids/e.con _).
+interpretation "Monoid unit" 'neutral = (e _).
   
 definition is_left_inverse ≝
  λM:Monoid.
   λopp: M → M.
-   ∀x:M. (opp x)·x = 1.
+   ∀x:M. (opp x)·x = ⅇ.
    
 definition is_right_inverse ≝
  λM:Monoid.
   λopp: M → M.
-   ∀x:M. x·(opp x) = 1.
+   ∀x:M. x·(opp x) = ⅇ.
 
 theorem is_left_inverse_to_is_right_inverse_to_eq:
  ∀M:Monoid. ∀l,r.