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Definition df-dm 5014
Description: Define the domain of a class. Definition 3 of [Suppes] p. 59. For example, ={<.2,6>.,<.3,9>.}->dom ={2,3} (ex-dm 25160). Another example is the domain of the complex arctangent, (for proof see atandm 23207). Contrast with range (defined in df-rn 5015). For alternate definitions see dfdm2 5544, dfdm3 5195, and dfdm4 5200. The notation "dom " is used by Enderton; other authors sometimes use script D. (Contributed by NM, 1-Aug-1994.)
Assertion
Ref Expression
df-dm
Distinct variable group:   , ,

Detailed syntax breakdown of Definition df-dm
StepHypRef Expression
1 cA . . 3
21cdm 5004 . 2
3 vx . . . . . 6
43cv 1394 . . . . 5
5 vy . . . . . 6
65cv 1394 . . . . 5
74, 6, 1wbr 4452 . . . 4
87, 5wex 1612 . . 3
98, 3cab 2442 . 2
102, 9wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  dfdm3  5195  dfrn2  5196  dfdm4  5200  dfdmf  5201  eldmg  5203  dmun  5214  dm0rn0  5224  nfdm  5249  fliftf  6213  opabdm  27464  domep  29225
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