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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 }