Axiom ax-0id 8032

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 7990.

Proofs should normally use addrid 8209 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 7922	. . 3 class CC
3	1, 2	wcel 2175	. 2 wff A e. CC
4		cc0 7924	. . . 4 class 0
5		caddc 7927	. . . 4 class +
6	1, 4, 5	co 5943	. . 3 class ( A + 0 )
7	6, 1	wceq 1372	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addrid  8209