Theorem addrid 8472

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 8294	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

This proof depends on syntax axioms:   → wi 4   = wceq 1402   ∈ wcel 2209  (class class class)co 6088  ℂcc 8184  0cc0 8186   + caddc 8189

This proof depends on axioms:  ax-0id 8294

This theorem is used by:  addlid  8473  00id  8475  addridi  8476  addridd  8483  addcan2  8515  subid  8553  subid1  8554  addid0  8707  swrdccat3blem  11534  shftval3  11615  reim0  11649  fsum3cvg  12171  summodclem2a  12174