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Definition df-dm 4278
 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 4279). For alternate definitions see dfdm2 4775, dfdm3 4445, and dfdm4 4450. The notation "dom " is used by Enderton; other authors sometimes use script D. (Contributed by NM, 1-Aug-1994.)
Assertion
Ref Expression
df-dm dom A = {xy xAy}
Distinct variable group:   x,y,A

Detailed syntax breakdown of Definition df-dm
StepHypRef Expression
1 cA . . 3 class A
21cdm 4268 . 2 class dom A
3 vx . . . . . 6 setvar x
43cv 1225 . . . . 5 class x
5 vy . . . . . 6 setvar y
65cv 1225 . . . . 5 class y
74, 6, 1wbr 3734 . . . 4 wff xAy
87, 5wex 1358 . . 3 wff y xAy
98, 3cab 2004 . 2 class {xy xAy}
102, 9wceq 1226 1 wff dom A = {xy xAy}
 Colors of variables: wff set class This definition is referenced by:  dfdm3  4445  dfrn2  4446  dfdm4  4450  dfdmf  4451  eldmg  4453  dmun  4465  dm0rn0  4475  dmmrnm  4477  nfdm  4501  fliftf  5360
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