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Mirrors > Home > ILE Home > Th. List > df-uni | Unicode version |
Description: Define the union of a class i.e. the collection of all members of the members of the class. Definition 5.5 of [TakeutiZaring] p. 16. For example, . This is similar to the union of two classes df-un 3125. (Contributed by NM, 23-Aug-1993.) |
Ref | Expression |
---|---|
df-uni |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | 1 | cuni 3796 | . 2 |
3 | vx | . . . . . 6 | |
4 | vy | . . . . . 6 | |
5 | 3, 4 | wel 2142 | . . . . 5 |
6 | 4 | cv 1347 | . . . . . 6 |
7 | 6, 1 | wcel 2141 | . . . . 5 |
8 | 5, 7 | wa 103 | . . . 4 |
9 | 8, 4 | wex 1485 | . . 3 |
10 | 9, 3 | cab 2156 | . 2 |
11 | 2, 10 | wceq 1348 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dfuni2 3798 eluni 3799 csbunig 3804 unipr 3810 uniuni 4436 bdcuni 13911 |
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