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Metamath Proof Explorer


Theorem rpxr

Description: A positive real is an extended real. (Contributed by Mario Carneiro, 21-Aug-2015)

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

Proof

Step Hyp Ref Expression
1 rpre
 |-  ( A e. RR+ -> A e. RR )
2 1 rexrd
 |-  ( A e. RR+ -> A e. RR* )