Theorem addid1 8057

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 7882	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1348   ∈ wcel 2141  (class class class)co 5853  ℂcc 7772  0cc0 7774   + caddc 7777

This theorem was proved from axioms:  ax-0id 7882

This theorem is referenced by:  addid2  8058  00id  8060  addid1i  8061  addid1d  8068  addcan2  8100  subid  8138  subid1  8139  addid0  8292  shftval3  10791  reim0  10825  fsum3cvg  11341  summodclem2a  11344