Axiom ax-0id 8033

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 7991.

Proofs should normally use addrid 8210 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 7923	. . 3 class CC
3	1, 2	wcel 2176	. 2 wff A e. CC
4		cc0 7925	. . . 4 class 0
5		caddc 7928	. . . 4 class +
6	1, 4, 5	co 5944	. . 3 class ( A + 0 )
7	6, 1	wceq 1373	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addrid  8210