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Metamath Proof Explorer

Theorem fnconstg

Description: A Cartesian product with a singleton is a constant function. (Contributed by NM, 24-Jul-2014)

		Ref	Expression
	Assertion	fnconstg	$⊢ B \in V \to (A \times \{B\}) Fn A$

Step	Hyp	Ref	Expression
1		fconstg	$⊢ B \in V \to (A \times \{B\}) : A ⟶ \{B\}$
2	1	ffnd	$⊢ B \in V \to (A \times \{B\}) Fn A$