src/HOL/AxClasses/Tutorial/Monoid.thy
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     1 (*  Title:      HOL/AxClasses/Tutorial/Monoid.thy
       
     2     ID:         $Id$
       
     3     Author:     Markus Wenzel, TU Muenchen
       
     4 
       
     5 Define class "monoid".
       
     6 *)
       
     7 
       
     8 Monoid = Sigs +
       
     9 
       
    10 (* monoids *)
       
    11 
       
    12 axclass
       
    13   monoid < term
       
    14   assoc         "(x <*> y) <*> z = x <*> (y <*> z)"
       
    15   left_unit     "1 <*> x = x"
       
    16   right_unit    "x <*> 1 = x"
       
    17 
       
    18 end