Axiom ax-0id 8070

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 8028.

Proofs should normally use addrid 8247 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 7960	. . 3 class CC
3	1, 2	wcel 2178	. 2 wff A e. CC
4		cc0 7962	. . . 4 class 0
5		caddc 7965	. . . 4 class +
6	1, 4, 5	co 5969	. . 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  8247