ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  addrid Unicode version

Theorem addrid 8295
Description:  0 is an additive identity. (Contributed by Jim Kingdon, 16-Jan-2020.)
Assertion
Ref Expression
addrid  |-  ( A  e.  CC  ->  ( A  +  0 )  =  A )

Proof of Theorem addrid
StepHypRef Expression
1 ax-0id 8118 1  |-  ( A  e.  CC  ->  ( A  +  0 )  =  A )
Colors of variables: wff set class
Syntax hints:    -> wi 4    = wceq 1395    e. wcel 2200  (class class class)co 6007   CCcc 8008   0cc0 8010    + caddc 8013
This theorem was proved from axioms:  ax-0id 8118
This theorem is referenced by:  addlid  8296  00id  8298  addridi  8299  addridd  8306  addcan2  8338  subid  8376  subid1  8377  addid0  8530  swrdccat3blem  11286  shftval3  11353  reim0  11387  fsum3cvg  11904  summodclem2a  11907
  Copyright terms: Public domain W3C validator