Theorem addrid 8416

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 8240	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1398   ∈ wcel 2205  (class class class)co 6052  ℂcc 8130  0cc0 8132   + caddc 8135

This theorem was proved from axioms:  ax-0id 8240

This theorem is referenced by:  addlid  8417  00id  8419  addridi  8420  addridd  8427  addcan2  8459  subid  8497  subid1  8498  addid0  8651  swrdccat3blem  11439  shftval3  11520  reim0  11554  fsum3cvg  12072  summodclem2a  12075