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Mirrors > Home > ILE Home > Th. List > df-dm | Unicode version |
Description: Define the domain of a class. Definition 3 of [Suppes] p. 59. For example, F = { 2 , 6 , 3 , 9 } dom F = { 2 , 3 } . Contrast with range (defined in df-rn 4520). For alternate definitions see dfdm2 5043, dfdm3 4696, and dfdm4 4701. The notation " " is used by Enderton; other authors sometimes use script D. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
df-dm |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | 1 | cdm 4509 | . 2 |
3 | vx | . . . . . 6 | |
4 | 3 | cv 1315 | . . . . 5 |
5 | vy | . . . . . 6 | |
6 | 5 | cv 1315 | . . . . 5 |
7 | 4, 6, 1 | wbr 3899 | . . . 4 |
8 | 7, 5 | wex 1453 | . . 3 |
9 | 8, 3 | cab 2103 | . 2 |
10 | 2, 9 | wceq 1316 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dfdm3 4696 dfrn2 4697 dfdm4 4701 dfdmf 4702 eldmg 4704 dmun 4716 dm0rn0 4726 dmmrnm 4728 nfdm 4753 fliftf 5668 |
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