Metamath Proof Explorer

Theorem xaddid1d

Description: 0 is a right identity for extended real addition. (Contributed by Glauco Siliprandi, 17-Aug-2020)

Ref Expression
Hypothesis xaddid1d.1 
|- ( ph -> A e. RR* )
Assertion xaddid1d 
|- ( ph -> ( A +e 0 ) = A )

Proof

Step Hyp Ref Expression
1 xaddid1d.1 
 |-  ( ph -> A e. RR* )
2 xaddid1 
 |-  ( A e. RR* -> ( A +e 0 ) = A )
3 1 2 syl 
 |-  ( ph -> ( A +e 0 ) = A )