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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 8053 | 1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
| Colors of variables: wff set class |
| Syntax hints: → wi 4 = wceq 1373 ∈ wcel 2177 (class class class)co 5957 ℂcc 7943 0cc0 7945 + caddc 7948 |
| This theorem was proved from axioms: ax-0id 8053 |
| This theorem is referenced by: addlid 8231 00id 8233 addridi 8234 addridd 8241 addcan2 8273 subid 8311 subid1 8312 addid0 8465 shftval3 11213 reim0 11247 fsum3cvg 11764 summodclem2a 11767 |
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