Metamath Proof Explorer


Theorem bnj930

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj930.1 ( 𝜑𝐹 Fn 𝐴 )
Assertion bnj930 ( 𝜑 → Fun 𝐹 )

Proof

Step Hyp Ref Expression
1 bnj930.1 ( 𝜑𝐹 Fn 𝐴 )
2 fnfun ( 𝐹 Fn 𝐴 → Fun 𝐹 )
3 1 2 syl ( 𝜑 → Fun 𝐹 )