Metamath Proof Explorer


Theorem vsnid

Description: A setvar variable is a member of its singleton. (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion vsnid
|- x e. { x }

Proof

Step Hyp Ref Expression
1 vex
 |-  x e. _V
2 1 snid
 |-  x e. { x }