Theorem addrid 8181

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 8004	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1364   ∈ wcel 2167  (class class class)co 5925  ℂcc 7894  0cc0 7896   + caddc 7899

This theorem was proved from axioms:  ax-0id 8004

This theorem is referenced by:  addlid  8182  00id  8184  addridi  8185  addridd  8192  addcan2  8224  subid  8262  subid1  8263  addid0  8416  shftval3  11009  reim0  11043  fsum3cvg  11560  summodclem2a  11563