Theorem addridi 8276

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
addridi	|- ( A + 0 ) = A

Proof of Theorem addridi

Step	Hyp	Ref	Expression
1		mul.1	. 2 |- A e. CC
2		addrid 8272	. 2 |- ( A e. CC -> ( A + 0 ) = A )
3	1, 2	ax-mp 5	1 |- ( A + 0 ) = A

Syntax hints:   = wceq 1395   e. wcel 2200  (class class class)co 5994   CCcc 7985   0cc0 7987   + caddc 7990

This theorem was proved from axioms:  ax-mp 5  ax-0id 8095

This theorem is referenced by:  1p0e1  9214  9p1e10  9568  num0u  9576  numnncl2  9588  decrmanc  9622  decaddi  9625  decaddci  9626  decmul1  9629  decmulnc  9632  fsumrelem  11968  demoivreALT  12271  decsplit0  12936  sinhalfpilem  15450  efipi  15460