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Definition df-id 4057
Description: Define the identity relation. Definition 9.15 of [Quine] p. 64. For example, 5  _I 5 and  -. 4  _I 5. (Contributed by NM, 13-Aug-1995.)
Assertion
Ref Expression
df-id  |-  _I  =  { <. x ,  y
>.  |  x  =  y }
Distinct variable group:    x, y

Detailed syntax breakdown of Definition df-id
StepHypRef Expression
1 cid 4052 . 2  class  _I
2 vx . . . 4  setvar  x
3 vy . . . 4  setvar  y
42, 3weq 1408 . . 3  wff  x  =  y
54, 2, 3copab 3844 . 2  class  { <. x ,  y >.  |  x  =  y }
61, 5wceq 1259 1  wff  _I  =  { <. x ,  y
>.  |  x  =  y }
Colors of variables: wff set class
This definition is referenced by:  reli  4492  ideqg  4514  opabresid  4686  cnvi  4755  dffun2  4939  ider  6169
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