Metamath Proof Explorer

Theorem rpre

Description: A positive real is a real. (Contributed by NM, 27-Oct-2007) (Proof shortened by Steven Nguyen, 8-Oct-2022)

Ref Expression
Assertion rpre 
|- ( A e. RR+ -> A e. RR )

Proof

Step Hyp Ref Expression
1 rpssre 
 |-  RR+ C_ RR
2 1 sseli 
 |-  ( A e. RR+ -> A e. RR )