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 ∈ Field ∧ 𝑓 ∈ Field ) ∧ ( 𝑓 = ( 𝑒 ↾s ( Base ‘ 𝑓 ) ) ∧ ( Base ‘ 𝑓 ) ∈ ( SubRing ‘ 𝑒 ) ) ) }
2	1	relopabiv	⊢ Rel /FldExt