Axiom ax-0id 7728

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by theorem ax0id 7686.

Proofs should normally use addid1 7900 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 16-Jan-2020.)

Assertion

Ref	Expression
ax-0id	|- ( A e. CC -> ( A + 0 ) = A )

Detailed syntax breakdown of Axiom ax-0id

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cc 7618	. . 3 class CC
3	1, 2	wcel 1480	. 2 wff A e. CC
4		cc0 7620	. . . 4 class 0
5		caddc 7623	. . . 4 class +
6	1, 4, 5	co 5774	. . 3 class ( A + 0 )
7	6, 1	wceq 1331	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addid1  7900