Metamath Proof Explorer

Theorem qssre

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

Ref Expression
Assertion qssre 
|- QQ C_ RR

Proof

Step Hyp Ref Expression
1 qre 
 |-  ( x e. QQ -> x e. RR )
2 1 ssriv 
 |-  QQ C_ RR