Axiom ax-0id 8118

Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 8076.

Proofs should normally use addrid 8295 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 8008	. . 3 class CC
3	1, 2	wcel 2200	. 2 wff A e. CC
4		cc0 8010	. . . 4 class 0
5		caddc 8013	. . . 4 class +
6	1, 4, 5	co 6007	. . 3 class ( A + 0 )
7	6, 1	wceq 1395	. 2 wff ( A + 0 ) = A
8	3, 7	wi 4	1 wff ( A e. CC -> ( A + 0 ) = A )

This axiom is referenced by:  addrid  8295