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Metamath Proof Explorer

Theorem uzxrd

Description: An upper integer is an extended real. (Contributed by Glauco Siliprandi, 2-Jan-2022)

Ref Expression
Hypotheses uzxrd.1 
|- Z = ( ZZ>= ` M )
uzxrd.2 
|- ( ph -> A e. Z )
Assertion uzxrd 
|- ( ph -> A e. RR* )

Proof

Step Hyp Ref Expression
1 uzxrd.1 
 |-  Z = ( ZZ>= ` M )
2 uzxrd.2 
 |-  ( ph -> A e. Z )
3 ressxr 
 |-  RR C_ RR*
4 1 2 uzred 
 |-  ( ph -> A e. RR )
5 3 4 sselid 
 |-  ( ph -> A e. RR* )