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Mirrors > Home > MPE Home > Th. List > df-vtx | Structured version Visualization version Unicode version |
Description: Define the function mapping a graph to the set of its vertices. This definition is very general: It defines the set of vertices for any ordered pair as its first component, and for any other class as its "base set". It is meaningful, however, only if the ordered pair represents a graph resp. the class is an extensible structure representing a graph. (Contributed by AV, 9-Jan-2020.) (Revised by AV, 20-Sep-2020.) |
Ref | Expression |
---|---|
df-vtx | Vtx |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cvtx 25874 | . 2 Vtx | |
2 | vg | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | 2 | cv 1482 | . . . . 5 |
5 | 3, 3 | cxp 5112 | . . . . 5 |
6 | 4, 5 | wcel 1990 | . . . 4 |
7 | c1st 7166 | . . . . 5 | |
8 | 4, 7 | cfv 5888 | . . . 4 |
9 | cbs 15857 | . . . . 5 | |
10 | 4, 9 | cfv 5888 | . . . 4 |
11 | 6, 8, 10 | cif 4086 | . . 3 |
12 | 2, 3, 11 | cmpt 4729 | . 2 |
13 | 1, 12 | wceq 1483 | 1 Vtx |
Colors of variables: wff setvar class |
This definition is referenced by: vtxval 25878 vtxvalOLD 25880 |
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