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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	$⊢ φ \to F : A ⟶ B$
	Assertion	ffnd	$⊢ φ \to F Fn A$

Step	Hyp	Ref	Expression
1		ffnd.1	$⊢ φ \to F : A ⟶ B$
2		ffn	$⊢ F : A ⟶ B \to F Fn A$
3	1 2	syl	$⊢ φ \to F Fn A$