Metamath Proof Explorer


Theorem bnj105

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Assertion bnj105 ⊢ 1 𝑜 ∈ V

Proof

Step Hyp Ref Expression
1 df1o2 ⊢ 1 𝑜 = ∅
2 p0ex ⊢ ∅ ∈ V
3 1 2 eqeltri ⊢ 1 𝑜 ∈ V