Metamath Proof Explorer


Theorem ovexi

Description: The result of an operation is a set. (Contributed by Glauco Siliprandi, 26-Jun-2021)

Ref Expression
Hypothesis ovexi.1 ⊢ 𝐴 = ( 𝐵 𝐹 𝐶 )
Assertion ovexi 𝐴 ∈ V

Proof

Step Hyp Ref Expression
1 ovexi.1 ⊢ 𝐴 = ( 𝐵 𝐹 𝐶 )
2 ovex ⊢ ( 𝐵 𝐹 𝐶 ) ∈ V
3 1 2 eqeltri ⊢ 𝐴 ∈ V