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1   /* This file is part of the project "Hilbert II" - http://www.qedeq.org" target="alexandria_uri">http://www.qedeq.org
2    *
3    * Copyright 2000-2014,  Michael Meyling <mime@qedeq.org>.
4    *
5    * "Hilbert II" is free software; you can redistribute
6    * it and/or modify it under the terms of the GNU General Public
7    * License as published by the Free Software Foundation; either
8    * version 2 of the License, or (at your option) any later version.
9    *
10   * This program is distributed in the hope that it will be useful,
11   * but WITHOUT ANY WARRANTY; without even the implied warranty of
12   * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13   * GNU General Public License for more details.
14   */
15  
16  package org.qedeq.kernel.se.base.module;
17  
18  import org.qedeq.kernel.se.base.list.Element;
19  
20  
21  /**
22   * Rule of existential generalization.
23   * <pre>
24   *            A(x) -&gt; B
25   *  -----------------------
26   *   exists x A(x) -&gt; B
27   * </pre>
28   *
29   * @author  Michael Meyling
30   */
31  public interface Existential extends Reason {
32  
33      /**
34       * Get this reason.
35       *
36       * @return  This reason.
37       */
38      public Existential getExistential();
39  
40      /**
41       * Get reference to formula. Usually this a formula of type A(x) -&gt; B
42       *
43       * @return  Reference to previously proved formula.
44       */
45      public String getReference();
46  
47  
48      /**
49       * Get free subject variable we want to quantify over.
50       *
51       * @return  Free subject variable.
52       */
53      public Element getSubjectVariable();
54  
55  }