Theorem addrid 8252

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 8075	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1375   ∈ wcel 2180  (class class class)co 5974  ℂcc 7965  0cc0 7967   + caddc 7970

This theorem was proved from axioms:  ax-0id 8075

This theorem is referenced by:  addlid  8253  00id  8255  addridi  8256  addridd  8263  addcan2  8295  subid  8333  subid1  8334  addid0  8487  swrdccat3blem  11237  shftval3  11304  reim0  11338  fsum3cvg  11855  summodclem2a  11858