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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 8123 | 1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
| Colors of variables: wff set class |
| Syntax hints: → wi 4 = wceq 1395 ∈ wcel 2200 (class class class)co 6010 ℂcc 8013 0cc0 8015 + caddc 8018 |
| This theorem was proved from axioms: ax-0id 8123 |
| This theorem is referenced by: addlid 8301 00id 8303 addridi 8304 addridd 8311 addcan2 8343 subid 8381 subid1 8382 addid0 8535 swrdccat3blem 11292 shftval3 11359 reim0 11393 fsum3cvg 11910 summodclem2a 11913 |
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