Theorem fnfund

Description: A function with domain is a function, deduction form. (Contributed by Jonathan Ben-Naim, 3-Jun-2011)

	Ref	Expression
Hypothesis	fnfund.1	⊢ ( 𝜑 → 𝐹 Fn 𝐴 )
Assertion	fnfund	⊢ ( 𝜑 → Fun 𝐹 )

Proof

Step	Hyp	Ref	Expression
1		fnfund.1	⊢ ( 𝜑 → 𝐹 Fn 𝐴 )
2		fnfun	⊢ ( 𝐹 Fn 𝐴 → Fun 𝐹 )
3	1 2	syl	⊢ ( 𝜑 → Fun 𝐹 )