Theorem addrid 8466

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 8288	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

This proof depends on syntax axioms:   → wi 4   = wceq 1402   ∈ wcel 2209  (class class class)co 6085  ℂcc 8178  0cc0 8180   + caddc 8183

This proof depends on axioms:  ax-0id 8288

This theorem is used by:  addlid  8467  00id  8469  addridi  8470  addridd  8477  addcan2  8509  subid  8547  subid1  8548  addid0  8701  swrdccat3blem  11527  shftval3  11608  reim0  11642  fsum3cvg  12164  summodclem2a  12167