Theorem addrid 8317

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 8140	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1397   ∈ wcel 2202  (class class class)co 6018  ℂcc 8030  0cc0 8032   + caddc 8035

This theorem was proved from axioms:  ax-0id 8140

This theorem is referenced by:  addlid  8318  00id  8320  addridi  8321  addridd  8328  addcan2  8360  subid  8398  subid1  8399  addid0  8552  swrdccat3blem  11321  shftval3  11389  reim0  11423  fsum3cvg  11941  summodclem2a  11944