Axiom ax-0id 7653

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by theorem ax0id 7613.

Proofs should normally use addid1 7823 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 7545	. . 3 class CC
3	1, 2	wcel 1463	. 2 wff A e. CC
4		cc0 7547	. . . 4 class 0
5		caddc 7550	. . . 4 class +
6	1, 4, 5	co 5728	. . 3 class ( A + 0 )
7	6, 1	wceq 1314	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addid1  7823