Theorem addid1 7924

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 7752	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1332   ∈ wcel 1481  (class class class)co 5782  ℂcc 7642  0cc0 7644   + caddc 7647

This theorem was proved from axioms:  ax-0id 7752

This theorem is referenced by:  addid2  7925  00id  7927  addid1i  7928  addid1d  7935  addcan2  7967  subid  8005  subid1  8006  addid0  8159  shftval3  10631  reim0  10665  fsum3cvg  11179  summodclem2a  11182