Metamath Proof Explorer


Theorem rpred

Description: A positive real is a real. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis rpred.1
|- ( ph -> A e. RR+ )
Assertion rpred
|- ( ph -> A e. RR )

Proof

Step Hyp Ref Expression
1 rpred.1
 |-  ( ph -> A e. RR+ )
2 rpssre
 |-  RR+ C_ RR
3 2 1 sseldi
 |-  ( ph -> A e. RR )