Metamath Proof Explorer


Theorem fnrel

Description: A function with domain is a relation. (Contributed by NM, 1-Aug-1994)

Ref Expression
Assertion fnrel ( 𝐹 Fn 𝐴 → Rel 𝐹 )

Proof

Step Hyp Ref Expression
1 fnfun ( 𝐹 Fn 𝐴 → Fun 𝐹 )
2 funrel ( Fun 𝐹 → Rel 𝐹 )
3 1 2 syl ( 𝐹 Fn 𝐴 → Rel 𝐹 )