Editing Partial order

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A '''strict partial order''' is similar to a partial order, but instead defines a relation, usually denoted <, which satisfies the following three properties:
 
A '''strict partial order''' is similar to a partial order, but instead defines a relation, usually denoted <, which satisfies the following three properties:
 
* ''Irreflexivity'': <math>a \nless a</math> for any element <math>a</math>.
 
* ''Irreflexivity'': <math>a \nless a</math> for any element <math>a</math>.
* ''Asymmetry'': If <math>a < b</math>, then <math>b \nless a</math>.
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* ''Assymmetry'': If <math>a < b</math>, then <math>b \nless a</math>.
 
* ''Transitivity'': If <math>a < b</math> and <math>b < c</math>, then <math>a < c</math>.
 
* ''Transitivity'': If <math>a < b</math> and <math>b < c</math>, then <math>a < c</math>.
 
We can convert a partial order into a strict partial order and ''vice versa'' by toggling reflexivity.
 
We can convert a partial order into a strict partial order and ''vice versa'' by toggling reflexivity.

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