Theorem ffun

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

	Ref	Expression
Assertion	ffun	⊢ ( 𝐹 : 𝐴 ⟶ 𝐵 → Fun 𝐹 )

Proof

Step	Hyp	Ref	Expression
1		ffn	⊢ ( 𝐹 : 𝐴 ⟶ 𝐵 → 𝐹 Fn 𝐴 )
2		fnfun	⊢ ( 𝐹 Fn 𝐴 → Fun 𝐹 )
3	1 2	syl	⊢ ( 𝐹 : 𝐴 ⟶ 𝐵 → Fun 𝐹 )