Metamath Proof Explorer


Theorem relen

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

Ref Expression
Assertion relen ⊢ Rel ⁡ ≈

Proof

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