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Axiom ax-0id 7907
Description:  0 is an identity element for real addition. Axiom for real and complex numbers, justified by Theorem ax0id 7865.

Proofs should normally use addid1 8082 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 7797 . . 3  class  CC
31, 2wcel 2148 . 2  wff  A  e.  CC
4 cc0 7799 . . . 4  class  0
5 caddc 7802 . . . 4  class  +
61, 4, 5co 5869 . . 3  class  ( A  +  0 )
76, 1wceq 1353 . 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  8082
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