Theorem addid1 8097

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 7921	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1353   ∈ wcel 2148  (class class class)co 5877  ℂcc 7811  0cc0 7813   + caddc 7816

This theorem was proved from axioms:  ax-0id 7921

This theorem is referenced by:  addlid  8098  00id  8100  addid1i  8101  addid1d  8108  addcan2  8140  subid  8178  subid1  8179  addid0  8332  shftval3  10838  reim0  10872  fsum3cvg  11388  summodclem2a  11391