Theorem addid1i 7250

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

Step	Hyp	Ref	Expression
1		mul.1	. 2 |- A e. CC
2		addid1 7246	. 2 |- ( A e. CC -> ( A + 0 ) = A )
3	1, 2	ax-mp 7	1 |- ( A + 0 ) = A

Syntax hints:   = wceq 1284   e. wcel 1433  (class class class)co 5532   CCcc 6979   0cc0 6981   + caddc 6984

This theorem was proved from axioms:  ax-mp 7  ax-0id 7084

This theorem is referenced by:  1p0e1  8154  9p1e10  8479  num0u  8487  numnncl2  8499  decrmanc  8533  decaddi  8536  decaddci  8537  decmul1  8540  decmulnc  8543