Metamath Proof Explorer


Theorem rel0

Description: The empty set is a relation. (Contributed by NM, 26-Apr-1998)

Ref Expression
Assertion rel0
|- Rel (/)

Proof

Step Hyp Ref Expression
1 0ss
 |-  (/) C_ ( _V X. _V )
2 df-rel
 |-  ( Rel (/) <-> (/) C_ ( _V X. _V ) )
3 1 2 mpbir
 |-  Rel (/)