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Metamath Proof Explorer

Theorem unitssre

Description: ( 0 , 1 ) is a subset of the reals. (Contributed by David Moews, 28-Feb-2017)

		Ref	Expression
	Assertion	unitssre	$⊢ [0, 1] \subseteq ℝ$

Step	Hyp	Ref	Expression
1		0re	$⊢ 0 \in ℝ$
2		1re	$⊢ 1 \in ℝ$
3		iccssre	$⊢ (0 \in ℝ \land 1 \in ℝ) \to [0, 1] \subseteq ℝ$
4	1 2 3	mp2an	$⊢ [0, 1] \subseteq ℝ$