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Metamath Proof Explorer

Theorem fzossfz

Description: A half-open range is contained in the corresponding closed range. (Contributed by Stefan O'Rear, 23-Aug-2015) (Revised by Mario Carneiro, 29-Sep-2015)

		Ref	Expression
	Assertion	fzossfz	$⊢ (A ..^B) \subseteq (A \dots B)$

Proof

Step	Hyp	Ref	Expression
1		elfzofz	$⊢ x \in (A ..^B) \to x \in (A \dots B)$
2	1	ssriv	$⊢ (A ..^B) \subseteq (A \dots B)$