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Metamath Proof Explorer

Theorem ffund

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

		Ref	Expression
	Hypothesis	ffund.1	$⊢ φ \to F : A ⟶ B$
	Assertion	ffund	$⊢ φ \to Fun F$

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