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Metamath Proof Explorer

Theorem rele

Description: The membership relation is a relation. (Contributed by NM, 26-Apr-1998) (Revised by Mario Carneiro, 21-Dec-2013)

Ref Expression
Assertion rele Rel E

Proof

Step Hyp Ref Expression
1 df-eprel ⊢ E = { ⟨ 𝑥 , 𝑦 ⟩ ∣ 𝑥 ∈ 𝑦 }
2 1 relopabiv ⊢ Rel E