Theorem addrid 8407

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 8231	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1398   ∈ wcel 2203  (class class class)co 6049  ℂcc 8121  0cc0 8123   + caddc 8126

This theorem was proved from axioms:  ax-0id 8231

This theorem is referenced by:  addlid  8408  00id  8410  addridi  8411  addridd  8418  addcan2  8450  subid  8488  subid1  8489  addid0  8642  swrdccat3blem  11424  shftval3  11505  reim0  11539  fsum3cvg  12057  summodclem2a  12060