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