ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-dm Structured version   GIF version

Definition df-dm 4298
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 4299). For alternate definitions see dfdm2 4795, dfdm3 4465, and dfdm4 4470. 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 4288 . 2 class dom A
3 vx . . . . . 6 setvar x
43cv 1241 . . . . 5 class x
5 vy . . . . . 6 setvar y
65cv 1241 . . . . 5 class y
74, 6, 1wbr 3755 . . . 4 wff xAy
87, 5wex 1378 . . 3 wff y xAy
98, 3cab 2023 . 2 class {xy xAy}
102, 9wceq 1242 1 wff dom A = {xy xAy}
Colors of variables: wff set class
This definition is referenced by:  dfdm3  4465  dfrn2  4466  dfdm4  4470  dfdmf  4471  eldmg  4473  dmun  4485  dm0rn0  4495  dmmrnm  4497  nfdm  4521  fliftf  5382
  Copyright terms: Public domain W3C validator