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Metamath Proof Explorer

Theorem topnlly

Description: A topology is n-locally a topology. (Contributed by Mario Carneiro, 2-Mar-2015)

		Ref	Expression
	Assertion	topnlly	⊢ 𝑛-Locally Top = Top

Step	Hyp	Ref	Expression
1		toplly	⊢ Locally Top = Top
2		loclly	⊢ ( Locally Top = Top ↔ 𝑛-Locally Top = Top )
3	1 2	mpbi	⊢ 𝑛-Locally Top = Top