Theorem addid1 7246

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 7084	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1284   ∈ wcel 1433  (class class class)co 5532  ℂcc 6979  0cc0 6981   + caddc 6984

This theorem was proved from axioms:  ax-0id 7084

This theorem is referenced by:  addid2  7247  00id  7249  addid1i  7250  addid1d  7257  addcan2  7289  subid  7327  subid1  7328  addid0  7477  shftval3  9715  reim0  9748