That is to say E a together ordered and F part of E , a raising ( resp. undervaluing ) F is an element X of E such as all the elements of F are lower ( resp. higher) than X .
Either an ordered unit and , is:
- one undervaluing of if ;
- one raising of if .
- If F has one raising X then it is said that F is a raised left
- If F has one undervaluing X then it is said that F is an undervalued left
- for the interval ] 0; 10 part of the whole of [[the Real number|real numbers] ordered by the usual order ≤: 10 and 11 are raising whereas 0 and -7 are undervaluing ,
- upper Limit
- maximum element
- larger element
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