Axiom ax-0id 7721

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by theorem ax0id 7679.

Proofs should normally use addid1 7893 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 7611	. . 3 class CC
3	1, 2	wcel 1480	. 2 wff A e. CC
4		cc0 7613	. . . 4 class 0
5		caddc 7616	. . . 4 class +
6	1, 4, 5	co 5767	. . 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  7893