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Theorem addid1i 7868
Description:  0 is an additive identity. (Contributed by NM, 23-Nov-1994.) (Revised by Scott Fenton, 3-Jan-2013.)
Hypothesis
Ref Expression
mul.1  |-  A  e.  CC
Assertion
Ref Expression
addid1i  |-  ( A  +  0 )  =  A

Proof of Theorem addid1i
StepHypRef Expression
1 mul.1 . 2  |-  A  e.  CC
2 addid1 7864 . 2  |-  ( A  e.  CC  ->  ( A  +  0 )  =  A )
31, 2ax-mp 5 1  |-  ( A  +  0 )  =  A
Colors of variables: wff set class
Syntax hints:    = wceq 1314    e. wcel 1463  (class class class)co 5740   CCcc 7582   0cc0 7584    + caddc 7587
This theorem was proved from axioms:  ax-mp 5  ax-0id 7692
This theorem is referenced by:  1p0e1  8793  9p1e10  9135  num0u  9143  numnncl2  9155  decrmanc  9189  decaddi  9192  decaddci  9193  decmul1  9196  decmulnc  9199  fsumrelem  11180  demoivreALT  11378
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