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Metamath Proof Explorer

Theorem qsscn

Description: The rationals are a subset of the complex numbers. (Contributed by NM, 2-Aug-2004)

		Ref	Expression
	Assertion	qsscn	⊢ ℚ ⊆ ℂ

Step	Hyp	Ref	Expression
1		qssre	⊢ ℚ ⊆ ℝ
2		ax-resscn	⊢ ℝ ⊆ ℂ
3	1 2	sstri	⊢ ℚ ⊆ ℂ