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 ⊆ ℚ

Proof

Step Hyp Ref Expression
1 nnssz ℕ ⊆ ℤ
2 zssq ℤ ⊆ ℚ
3 1 2 sstri ℕ ⊆ ℚ