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Theorem addid1i 7317
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 7313 . 2  |-  ( A  e.  CC  ->  ( A  +  0 )  =  A )
31, 2ax-mp 7 1  |-  ( A  +  0 )  =  A
Colors of variables: wff set class
Syntax hints:    = wceq 1285    e. wcel 1434  (class class class)co 5543   CCcc 7041   0cc0 7043    + caddc 7046
This theorem was proved from axioms:  ax-mp 7  ax-0id 7146
This theorem is referenced by:  1p0e1  8221  9p1e10  8560  num0u  8568  numnncl2  8580  decrmanc  8614  decaddi  8617  decaddci  8618  decmul1  8621  decmulnc  8624
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