Metamath Proof Explorer


Theorem brrelex1i

Description: The first argument of a binary relation exists. (An artifact of our ordered pair definition.) (Contributed by NM, 4-Jun-1998)

Ref Expression
Hypothesis brrelexi.1
|- Rel R
Assertion brrelex1i
|- ( A R B -> A e. _V )

Proof

Step Hyp Ref Expression
1 brrelexi.1
 |-  Rel R
2 brrelex1
 |-  ( ( Rel R /\ A R B ) -> A e. _V )
3 1 2 mpan
 |-  ( A R B -> A e. _V )