Metamath Proof Explorer


Theorem frel

Description: A mapping is a relation. (Contributed by NM, 3-Aug-1994)

Ref Expression
Assertion frel ⊢ F : A ⟶ B → Rel ⁡ F

Proof

Step Hyp Ref Expression
1 ffn ⊢ F : A ⟶ B → F Fn A
2 fnrel ⊢ F Fn A → Rel ⁡ F
3 1 2 syl ⊢ F : A ⟶ B → Rel ⁡ F