Axiom ax-0id 7852

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 7810.

Proofs should normally use addid1 8027 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 7742	. . 3 class CC
3	1, 2	wcel 2135	. 2 wff A e. CC
4		cc0 7744	. . . 4 class 0
5		caddc 7747	. . . 4 class +
6	1, 4, 5	co 5836	. . 3 class ( A + 0 )
7	6, 1	wceq 1342	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addid1  8027