Theorem addid1 8091

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 7916	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1353   ∈ wcel 2148  (class class class)co 5872  ℂcc 7806  0cc0 7808   + caddc 7811

This theorem was proved from axioms:  ax-0id 7916

This theorem is referenced by:  addlid  8092  00id  8094  addid1i  8095  addid1d  8102  addcan2  8134  subid  8172  subid1  8173  addid0  8326  shftval3  10829  reim0  10863  fsum3cvg  11379  summodclem2a  11382