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 ⊆ ℝ

Proof

Step Hyp Ref Expression
1 qre ( 𝑥 ∈ ℚ → 𝑥 ∈ ℝ )
2 1 ssriv ℚ ⊆ ℝ