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Metamath Proof Explorer

Theorem comraddi

Description: Commute RHS addition. See addcomli to commute addition on LHS. (Contributed by David A. Wheeler, 11-Oct-2018)

Ref Expression
Hypotheses comraddi.1 
|- B e. CC
comraddi.2 
|- C e. CC
comraddi.3 
|- A = ( B + C )
Assertion comraddi 
|- A = ( C + B )

Proof

Step Hyp Ref Expression
1 comraddi.1 
 |-  B e. CC
2 comraddi.2 
 |-  C e. CC
3 comraddi.3 
 |-  A = ( B + C )
4 1 2 addcomi 
 |-  ( B + C ) = ( C + B )
5 3 4 eqtri 
 |-  A = ( C + B )