Theorem unitssre

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

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

Proof

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