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Mirrors > Home > ILE Home > Th. List > df-po | Unicode version |
Description: Define the strict partial order predicate. Definition of [Enderton] p. 168. The expression means is a partial order on . (Contributed by NM, 16-Mar-1997.) |
Ref | Expression |
---|---|
df-po |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | cR | . . 3 | |
3 | 1, 2 | wpo 4279 | . 2 |
4 | vx | . . . . . . . . 9 | |
5 | 4 | cv 1347 | . . . . . . . 8 |
6 | 5, 5, 2 | wbr 3989 | . . . . . . 7 |
7 | 6 | wn 3 | . . . . . 6 |
8 | vy | . . . . . . . . . 10 | |
9 | 8 | cv 1347 | . . . . . . . . 9 |
10 | 5, 9, 2 | wbr 3989 | . . . . . . . 8 |
11 | vz | . . . . . . . . . 10 | |
12 | 11 | cv 1347 | . . . . . . . . 9 |
13 | 9, 12, 2 | wbr 3989 | . . . . . . . 8 |
14 | 10, 13 | wa 103 | . . . . . . 7 |
15 | 5, 12, 2 | wbr 3989 | . . . . . . 7 |
16 | 14, 15 | wi 4 | . . . . . 6 |
17 | 7, 16 | wa 103 | . . . . 5 |
18 | 17, 11, 1 | wral 2448 | . . . 4 |
19 | 18, 8, 1 | wral 2448 | . . 3 |
20 | 19, 4, 1 | wral 2448 | . 2 |
21 | 3, 20 | wb 104 | 1 |
Colors of variables: wff set class |
This definition is referenced by: poss 4283 poeq1 4284 nfpo 4286 pocl 4288 ispod 4289 po0 4296 poinxp 4680 posng 4683 cnvpom 5153 isopolem 5801 poxp 6211 |
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