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Metamath Proof Explorer

Theorem nnssq

Description: The positive integers are a subset of the rationals. (Contributed by NM, 31-Jul-2004)

		Ref	Expression
	Assertion	nnssq	$⊢ ℕ \subseteq ℚ$

Step	Hyp	Ref	Expression
1		nnssz	$⊢ ℕ \subseteq ℤ$
2		zssq	$⊢ ℤ \subseteq ℚ$
3	1 2	sstri	$⊢ ℕ \subseteq ℚ$