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Minimum of a subset of a total order
ID: minimum-of-a-subset-of-a-total-order
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Minimum of a subset of a total order
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Created
2026-10-14
Updated
2026-10-25
A
minimum of
A
is
a
member of
A
less than or equal to every member of
A
. It equals the
infimum
when that lower bound is attained.
A
nonempty finite
subset
of
a
totally ordered set
has a
minimum;
a
nonempty open real interval does not.
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