Metamath Proof Explorer


Theorem ffnd

Description: A mapping is a function with domain, deduction form. (Contributed by Glauco Siliprandi, 17-Aug-2020)

Ref Expression
Hypothesis ffnd.1 φ F : A B
Assertion ffnd φ F Fn A

Proof

Step Hyp Ref Expression
1 ffnd.1 φ F : A B
2 ffn F : A B F Fn A
3 1 2 syl φ F Fn A