This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem qssre

Description: The rationals are a subset of the reals. (Contributed by NM, 9-Jan-2002)

		Ref	Expression
	Assertion	qssre	$⊢ ℚ \subseteq ℝ$

Step	Hyp	Ref	Expression
1		qre	$⊢ x \in ℚ \to x \in ℝ$
2	1	ssriv	$⊢ ℚ \subseteq ℝ$