Metamath Proof Explorer


Theorem rexrd

Description: A standard real is an extended real. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis rexrd.1
|- ( ph -> A e. RR )
Assertion rexrd
|- ( ph -> A e. RR* )

Proof

Step Hyp Ref Expression
1 rexrd.1
 |-  ( ph -> A e. RR )
2 ressxr
 |-  RR C_ RR*
3 2 1 sseldi
 |-  ( ph -> A e. RR* )