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Mirrors > Home > MPE Home > Th. List > df-uz | Unicode version |
Description: Define a function whose
value at is the semi-infinite set of
contiguous integers starting at , which we will also call the
upper integers starting at . Read "` M " as
"the set
of integers greater than or equal to ." See uzval 11112 for its
value, uzssz 11129 for its relationship to , nnuz 11145 and nn0uz 11144 for
its relationships to and , and eluz1 11114 and eluz2 11116 for
its membership relations. (Contributed by NM,
5-Sep-2005.) |
Ref | Expression |
---|---|
df-uz |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cuz 11110 | . 2 | |
2 | vj | . . 3 | |
3 | cz 10889 | . . 3 | |
4 | 2 | cv 1394 | . . . . 5 |
5 | vk | . . . . . 6 | |
6 | 5 | cv 1394 | . . . . 5 |
7 | cle 9650 | . . . . 5 | |
8 | 4, 6, 7 | wbr 4452 | . . . 4 |
9 | 8, 5, 3 | crab 2811 | . . 3 |
10 | 2, 3, 9 | cmpt 4510 | . 2 |
11 | 1, 10 | wceq 1395 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: uzval 11112 uzf 11113 |
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