Theorem addid1 7893

Description: 0 is an additive identity. (Contributed by Jim Kingdon, 16-Jan-2020.)

Assertion

Ref	Expression
addid1	⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Proof of Theorem addid1

Step	Hyp	Ref	Expression
1		ax-0id 7721	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1331   ∈ wcel 1480  (class class class)co 5767  ℂcc 7611  0cc0 7613   + caddc 7616

This theorem was proved from axioms:  ax-0id 7721

This theorem is referenced by:  addid2  7894  00id  7896  addid1i  7897  addid1d  7904  addcan2  7936  subid  7974  subid1  7975  addid0  8128  shftval3  10592  reim0  10626  fsum3cvg  11139  summodclem2a  11143