Metamath Proof Explorer


Theorem fofun

Description: An onto mapping is a function. (Contributed by NM, 29-Mar-2008)

Ref Expression
Assertion fofun ⊢ F : A ⟶ onto B → Fun ⁡ F

Proof

Step Hyp Ref Expression
1 fof ⊢ F : A ⟶ onto B → F : A ⟶ B
2 1 ffund ⊢ F : A ⟶ onto B → Fun ⁡ F