Theorem addrid 8157

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 7980	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1364   ∈ wcel 2164  (class class class)co 5918  ℂcc 7870  0cc0 7872   + caddc 7875

This theorem was proved from axioms:  ax-0id 7980

This theorem is referenced by:  addlid  8158  00id  8160  addid1i  8161  addridd  8168  addcan2  8200  subid  8238  subid1  8239  addid0  8392  shftval3  10971  reim0  11005  fsum3cvg  11521  summodclem2a  11524