Metamath Proof Explorer


Theorem reldom

Description: Dominance is a relation. (Contributed by NM, 28-Mar-1998)

Ref Expression
Assertion reldom ⊢ Rel ⁡ ≼

Proof

Step Hyp Ref Expression
1 df-dom ⊢ ≼ = x y | ∃ f f : x ⟶ 1-1 y
2 1 relopabiv ⊢ Rel ⁡ ≼