Metamath Proof Explorer


Theorem relcnv

Description: A converse is a relation. Theorem 12 of Suppes p. 62. (Contributed by NM, 29-Oct-1996)

Ref Expression
Assertion relcnv Rel 𝐴

Proof

Step Hyp Ref Expression
1 df-cnv 𝐴 = { ⟨ 𝑥 , 𝑦 ⟩ ∣ 𝑦 𝐴 𝑥 }
2 1 relopabiv Rel 𝐴