Theorem f1f

Description: A one-to-one mapping is a mapping. (Contributed by NM, 31-Dec-1996)

	Ref	Expression
Assertion	f1f	$$⊢F:A\underset{1-1}{⟶}B\to F:A⟶B$$

Proof

Step	Hyp	Ref	Expression
1		df-f1	$$⊢F:A\underset{1-1}{⟶}B\leftrightarrow \left(F:A⟶B\wedge \mathrm{Fun}{F}^{-1}\right)$$
2	1	simplbi	$$⊢F:A\underset{1-1}{⟶}B\to F:A⟶B$$