Theorem addrid 8471

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 8293	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

This proof depends on syntax axioms:   → wi 4   = wceq 1402   ∈ wcel 2209  (class class class)co 6088  ℂcc 8183  0cc0 8185   + caddc 8188

This proof depends on axioms:  ax-0id 8293

This theorem is used by:  addlid  8472  00id  8474  addridi  8475  addridd  8482  addcan2  8514  subid  8552  subid1  8553  addid0  8706  swrdccat3blem  11532  shftval3  11613  reim0  11647  fsum3cvg  12169  summodclem2a  12172