Metamath Proof Explorer

Theorem rpssre

Description: The positive reals are a subset of the reals. (Contributed by NM, 24-Feb-2008)

Ref Expression
Assertion rpssre 
|- RR+ C_ RR

Proof

Step Hyp Ref Expression
1 df-rp 
 |-  RR+ = { x e. RR | 0 < x }
2 1 ssrab3 
 |-  RR+ C_ RR