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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 4609). For alternate definitions see dfdm2 5132, dfdm3 4785, and dfdm4 4790. 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 4598 | . 2 |
3 | vx | . . . . . 6 | |
4 | 3 | cv 1341 | . . . . 5 |
5 | vy | . . . . . 6 | |
6 | 5 | cv 1341 | . . . . 5 |
7 | 4, 6, 1 | wbr 3976 | . . . 4 |
8 | 7, 5 | wex 1479 | . . 3 |
9 | 8, 3 | cab 2150 | . 2 |
10 | 2, 9 | wceq 1342 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dfdm3 4785 dfrn2 4786 dfdm4 4790 dfdmf 4791 eldmg 4793 dmun 4805 dm0rn0 4815 dmmrnm 4817 nfdm 4842 fliftf 5761 |
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