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| Mirrors > Home > ILE Home > Th. List > addrid | GIF version | ||
| Description: 0 is an additive identity. (Contributed by Jim Kingdon, 16-Jan-2020.) |
| Ref | Expression |
|---|---|
| addrid | ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-0id 8145 | 1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
| Colors of variables: wff set class |
| Syntax hints: → wi 4 = wceq 1397 ∈ wcel 2201 (class class class)co 6023 ℂcc 8035 0cc0 8037 + caddc 8040 |
| This theorem was proved from axioms: ax-0id 8145 |
| This theorem is referenced by: addlid 8323 00id 8325 addridi 8326 addridd 8333 addcan2 8365 subid 8403 subid1 8404 addid0 8557 swrdccat3blem 11329 shftval3 11410 reim0 11444 fsum3cvg 11962 summodclem2a 11965 |
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