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Definition df-dm 4821
Description: Define the domain of a class. Definition 3 of [Suppes] p. 59. For example, ={<.2,6>.,<.3,9>.}->dom ={2,3} (ex-dm 23325). Another example is the domain of the complex arctangent, (for proof see atandm 22012). Contrast with range (defined in df-rn 4822). For alternate definitions see dfdm2 5341, dfdm3 4998, and dfdm4 5003. 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 4811 . 2
3 vx . . . . . 6
43cv 1686 . . . . 5
5 vy . . . . . 6
65cv 1686 . . . . 5
74, 6, 1wbr 4267 . . . 4
87, 5wex 1581 . . 3
98, 3cab 2408 . 2
102, 9wceq 1687 1
Colors of variables: wff setvar class
This definition is referenced by:  dfdm3  4998  dfrn2  4999  dfdm4  5003  dfdmf  5004  eldmg  5006  dmun  5017  dm0rn0  5027  nfdm  5052  fliftf  5976  opabdm  25623  domep  27308
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