Axiom ax-0id 7886

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 7844.

Proofs should normally use addid1 8061 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 7776	. . 3 class CC
3	1, 2	wcel 2142	. 2 wff A e. CC
4		cc0 7778	. . . 4 class 0
5		caddc 7781	. . . 4 class +
6	1, 4, 5	co 5857	. . 3 class ( A + 0 )
7	6, 1	wceq 1349	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addid1  8061