Metamath Proof Explorer


Theorem 0xr

Description: Zero is an extended real. (Contributed by Mario Carneiro, 15-Jun-2014)

Ref Expression
Assertion 0xr
|- 0 e. RR*

Proof

Step Hyp Ref Expression
1 ressxr
 |-  RR C_ RR*
2 0re
 |-  0 e. RR
3 1 2 sselii
 |-  0 e. RR*