Theorem ffund

Description: A mapping is a function, deduction version. (Contributed by Glauco Siliprandi, 3-Mar-2021)

	Ref	Expression
Hypothesis	ffund.1	$$⊢\phi \to F:A⟶B$$
Assertion	ffund	$$⊢\phi \to \mathrm{Fun}F$$

Proof

Step	Hyp	Ref	Expression
1		ffund.1	$$⊢\phi \to F:A⟶B$$
2		ffun	$$⊢F:A⟶B\to \mathrm{Fun}F$$
3	1 2	syl	$$⊢\phi \to \mathrm{Fun}F$$