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Metamath Proof Explorer

Theorem f1rel

Description: A one-to-one onto mapping is a relation. (Contributed by NM, 8-Mar-2014)

		Ref	Expression
	Assertion	f1rel	$⊢ F : A \underset{1-1}{⟶} B \to Rel F$

Step	Hyp	Ref	Expression
1		f1fn	$⊢ F : A \underset{1-1}{⟶} B \to F Fn A$
2		fnrel	$⊢ F Fn A \to Rel F$
3	1 2	syl	$⊢ F : A \underset{1-1}{⟶} B \to Rel F$