Metamath Proof Explorer


Theorem structex

Description: A structure is a set. (Contributed by AV, 10-Nov-2021)

Ref Expression
Assertion structex ⊢ G Struct X → G ∈ V

Proof

Step Hyp Ref Expression
1 brstruct ⊢ Rel ⁡ Struct
2 1 brrelex1i ⊢ G Struct X → G ∈ V