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Axiom ax-0id 7216
Description:  0 is an identity element for real addition. Axiom for real and complex numbers, justified by theorem ax0id 7176.

Proofs should normally use addid1 7383 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
StepHypRef Expression
1 cA . . 3  class  A
2 cc 7111 . . 3  class  CC
31, 2wcel 1434 . 2  wff  A  e.  CC
4 cc0 7113 . . . 4  class  0
5 caddc 7116 . . . 4  class  +
61, 4, 5co 5564 . . 3  class  ( A  +  0 )
76, 1wceq 1285 . 2  wff  ( A  +  0 )  =  A
83, 7wi 4 1  wff  ( A  e.  CC  ->  ( A  +  0 )  =  A )
Colors of variables: wff set class
This axiom is referenced by:  addid1  7383
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