Metamath Proof Explorer


Theorem relfldext

Description: The field extension is a relation. (Contributed by Thierry Arnoux, 29-Jul-2023)

Ref Expression
Assertion relfldext
|- Rel /FldExt

Proof

Step Hyp Ref Expression
1 df-fldext
 |-  /FldExt = { <. e , f >. | ( ( e e. Field /\ f e. Field ) /\ ( f = ( e |`s ( Base ` f ) ) /\ ( Base ` f ) e. ( SubRing ` e ) ) ) }
2 1 relopabiv
 |-  Rel /FldExt