ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  addid1 Unicode version

Theorem addid1 7151
Description:  0 is an additive identity. (Contributed by Jim Kingdon, 16-Jan-2020.)
Assertion
Ref Expression
addid1  |-  ( A  e.  CC  ->  ( A  +  0 )  =  A )

Proof of Theorem addid1
StepHypRef Expression
1 ax-0id 6992 1  |-  ( A  e.  CC  ->  ( A  +  0 )  =  A )
Colors of variables: wff set class
Syntax hints:    -> wi 4    = wceq 1243    e. wcel 1393  (class class class)co 5512   CCcc 6887   0cc0 6889    + caddc 6892
This theorem was proved from axioms:  ax-0id 6992
This theorem is referenced by:  addid2  7152  00id  7154  addid1i  7155  addid1d  7162  addcan2  7192  subid  7230  subid1  7231  shftval3  9428  reim0  9461
  Copyright terms: Public domain W3C validator