Metamath Proof Explorer

Theorem rele

Description: The membership relation is a relation. (Contributed by NM, 26-Apr-1998) (Revised by Mario Carneiro, 21-Dec-2013)

Ref Expression
Assertion rele 
|- Rel _E

Proof

Step Hyp Ref Expression
1 df-eprel 
 |-  _E = { <. x , y >. | x e. y }
2 1 relopabiv 
 |-  Rel _E