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 φF:AB
Assertion ffnd φFFnA

Proof

Step Hyp Ref Expression
1 ffnd.1 φF:AB
2 ffn F:ABFFnA
3 1 2 syl φFFnA