Theorem addrid 8183

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 8006	1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴)

Syntax hints:   → wi 4   = wceq 1364   ∈ wcel 2167  (class class class)co 5925  ℂcc 7896  0cc0 7898   + caddc 7901

This theorem was proved from axioms:  ax-0id 8006

This theorem is referenced by:  addlid  8184  00id  8186  addridi  8187  addridd  8194  addcan2  8226  subid  8264  subid1  8265  addid0  8418  shftval3  11011  reim0  11045  fsum3cvg  11562  summodclem2a  11565