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Metamath Proof Explorer

Theorem ioofun

Description: (,) is a function. (Contributed by Glauco Siliprandi, 26-Jun-2021)

		Ref	Expression
	Assertion	ioofun	$⊢ Fun (.)$

Step	Hyp	Ref	Expression
1		ioof	$⊢ (.) : ℝ^{} \times ℝ^{} ⟶ 𝒫 ℝ$
2		ffun	$⊢ (.) : ℝ^{} \times ℝ^{} ⟶ 𝒫 ℝ \to Fun (.)$
3	1 2	ax-mp	$⊢ Fun (.)$