Theorem addrid 8428

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

Step	Hyp	Ref	Expression
1		ax-0id 8251	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1398   ∈ wcel 2205  (class class class)co 6058  ℂcc 8141  0cc0 8143   + caddc 8146

This theorem was proved from axioms:  ax-0id 8251

This theorem is referenced by:  addlid  8429  00id  8431  addridi  8432  addridd  8439  addcan2  8471  subid  8509  subid1  8510  addid0  8663  swrdccat3blem  11459  shftval3  11540  reim0  11574  fsum3cvg  12092  summodclem2a  12095