
.. list-table:: Proof
   :widths: 2 70 20 20
   :header-rows: 1

   * - Step
     - Formula
     - Justification
     - Bindings
   * - 1
     - ...
     - parsing <socrates.n3>
     - 
   * - 2
     - :Socrates a :Human .
     - erasure from step 1
     - 
   * - 3
     - ...
     - parsing <socrates-query.n3>
     - 
   * - 4
     - @forAll :x_0, :x_1 . { :x_0 a :x_1 . } => {:x_0 a :x_1 . } .
     - erasure from step 3
     - 
   * - 5
     - :Socrates a :Human .
     - rule from step 4 applied to steps (2,)
     - {'x_0': u'<http://example.org/socrates#Socrates>', 'x_1': u'<http://example.org/socrates#Human>'}
   * - 6
     - ...
     - parsing <socrates.n3>
     - 
   * - 7
     - :Human rdfs:subClassOf :Mortal .
     - erasure from step 6
     - 
   * - 8
     - ...
     - parsing <socrates.n3>
     - 
   * - 9
     - @forAll :x_0, :x_1, :x_2 . { :x_0 rdfs:subClassOf :x_1 . :x_2 a :x_0 . } => {:x_2 a :x_1 . } .
     - erasure from step 8
     - 
   * - 10
     - :Socrates a :Mortal .
     - rule from step 9 applied to steps (7, 2)
     - {'x_2': u'<http://example.org/socrates#Socrates>', 'x_0': u'<http://example.org/socrates#Human>', 'x_1': u'<http://example.org/socrates#Mortal>'}
   * - 11
     - :Socrates a :Mortal .
     - rule from step 4 applied to steps (10,)
     - {'x_0': u'<http://example.org/socrates#Socrates>', 'x_1': u'<http://example.org/socrates#Mortal>'}
   * - 12
     - :Socrates a :Human, :Mortal .
     - conjoining steps (5, 11)
     - 


Conclusion::

  @prefix : <http://example.org/socrates#> .
  
  :Socrates     a :Human,
  :Mortal .
  
  
