Theorem addrid 8465

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 8287	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

This proof depends on syntax axioms:   → wi 4   = wceq 1402   ∈ wcel 2209  (class class class)co 6085  ℂcc 8177  0cc0 8179   + caddc 8182

This proof depends on axioms:  ax-0id 8287

This theorem is used by:  addlid  8466  00id  8468  addridi  8469  addridd  8476  addcan2  8508  subid  8546  subid1  8547  addid0  8700  swrdccat3blem  11525  shftval3  11606  reim0  11640  fsum3cvg  12161  summodclem2a  12164