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 ∈ { 𝑥 }

Proof

Step Hyp Ref Expression
1 vex 𝑥 ∈ V
2 1 snid 𝑥 ∈ { 𝑥 }