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 : 𝑥1-1𝑦 }
2 1 relopabi Rel ≼