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(where each such list in this sequence may contain RDF terms and
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errors, as it is produced by the ListEval function).</p>
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<ol>
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<li>Every unique list in M(Ψ) is contained in Dedup(M(Ψ)).</li>
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<li>Every list in Dedup(M(Ψ)) is contained in M(Ψ).</li>
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<li>Dedup(M(Ψ)) is free of duplicates. That is, the list at the |i|-th position in Dedup(M(Ψ)) is not the same list as the list at the |j|-th position in Dedup(M(Ψ)) for every two natural numbers |i| and |j| such that |i| ≠ |j|.
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<br/>
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Two lists <var>L</var> and <var>L'</var> from M(Ψ) are
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<li>For every list <var>L</var> in M(Ψ) there exists a
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list <var>L'</var> in Dedup(M(Ψ)) such that <var>L</var>
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and <var>L'</var> are the same,
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where two lists <var>L</var> and <var>L'</var> from M(Ψ) are
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considered the same iff they have the same number of elements
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and, for every position <var>k</var> within the two lists,
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any of the following two conditions is true:
@@ -9595,6 +9594,10 @@ <h4>Aggregate Algebra</h4>
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<var>L'</var> is also an error.</li>
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</ul>
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</li>
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<li>For every list <var>L</var> in Dedup(M(Ψ)) there exists
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a list <var>L'</var> in M(Ψ) such that <var>L</var> and
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<var>L'</var> are the same.</li>
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<li>Dedup(M(Ψ)) is free of duplicates. That is, the list at the |i|-th position in Dedup(M(Ψ)) is not the same list as the list at the |j|-th position in Dedup(M(Ψ)) for every two natural numbers |i| and |j| such that |i| ≠ |j|.</li>
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<li>For any two lists <var>L<sub>1</sub></var> and <var>L<sub>2</sub></var> in Dedup(M(Ψ)), the relative order of their first occurrences in M(Ψ) is preserved in Dedup(M(Ψ)). That is, if <var>i<sub>1</sub></var> < <var>i<sub>2</sub></var>, then <var>j<sub>1</sub></var> < <var>j<sub>2</sub></var>, where
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<ul>
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<li><var>i<sub>1</sub></var> is the smallest natural number such that <var>L<sub>1</sub></var> is at the <var>i<sub>1</sub></var>-th position in M(Ψ),</li>
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