Axiom ax-0id 8063

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 8021.

Proofs should normally use addrid 8240 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 7953	. . 3 class CC
3	1, 2	wcel 2177	. 2 wff A e. CC
4		cc0 7955	. . . 4 class 0
5		caddc 7958	. . . 4 class +
6	1, 4, 5	co 5962	. . 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  8240