Metamath Proof Explorer


Theorem rpssxr

Description: The positive reals are a subset of the extended reals. (Contributed by Glauco Siliprandi, 5-Feb-2022)

Ref Expression
Assertion rpssxr
|- RR+ C_ RR*

Proof

Step Hyp Ref Expression
1 rpssre
 |-  RR+ C_ RR
2 ressxr
 |-  RR C_ RR*
3 1 2 sstri
 |-  RR+ C_ RR*