Metamath Proof Explorer


Theorem dfid2

Description: Alternate definition of the identity relation. (Contributed by NM, 15-Mar-2007) Use df-id when sufficient (see comment at dfid3 ). (New usage is discouraged.)

Ref Expression
Assertion dfid2
|- _I = { <. x , x >. | x = x }

Proof

Step Hyp Ref Expression
1 dfid3
 |-  _I = { <. x , x >. | x = x }