Metamath Proof Explorer


Theorem rpsscn

Description: The positive reals are a subset of the complex numbers. (Contributed by SN, 1-Oct-2025)

Ref Expression
Assertion rpsscn
|- RR+ C_ CC

Proof

Step Hyp Ref Expression
1 rpssre
 |-  RR+ C_ RR
2 ax-resscn
 |-  RR C_ CC
3 1 2 sstri
 |-  RR+ C_ CC