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Metamath Proof Explorer

Theorem fzosn

Description: Expressing a singleton as a half-open range. (Contributed by Stefan O'Rear, 23-Aug-2015)

		Ref	Expression
	Assertion	fzosn	$⊢ A \in ℤ \to (A ..^A + 1) = \{A\}$

Step	Hyp	Ref	Expression
1		fzval3	$⊢ A \in ℤ \to (A \dots A) = (A ..^A + 1)$
2		fzsn	$⊢ A \in ℤ \to (A \dots A) = \{A\}$
3	1 2	eqtr3d	$⊢ A \in ℤ \to (A ..^A + 1) = \{A\}$