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

Theorem addrid 8300
Description: 0 is an additive identity. (Contributed by Jim Kingdon, 16-Jan-2020.)
Assertion
Ref Expression
addrid (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Proof of Theorem addrid
StepHypRef Expression
1 ax-0id 8123 1 (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)
Colors of variables: wff set class
Syntax hints:  wi 4   = wceq 1395  wcel 2200  (class class class)co 6010  cc 8013  0cc0 8015   + caddc 8018
This theorem was proved from axioms:  ax-0id 8123
This theorem is referenced by:  addlid  8301  00id  8303  addridi  8304  addridd  8311  addcan2  8343  subid  8381  subid1  8382  addid0  8535  swrdccat3blem  11292  shftval3  11359  reim0  11393  fsum3cvg  11910  summodclem2a  11913
  Copyright terms: Public domain W3C validator