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Mirrors > Home > ILE Home > Th. List > addid1 | GIF version |
Description: 0 is an additive identity. (Contributed by Jim Kingdon, 16-Jan-2020.) |
Ref | Expression |
---|---|
addid1 | ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-0id 7728 | 1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
Colors of variables: wff set class |
Syntax hints: → wi 4 = wceq 1331 ∈ wcel 1480 (class class class)co 5774 ℂcc 7618 0cc0 7620 + caddc 7623 |
This theorem was proved from axioms: ax-0id 7728 |
This theorem is referenced by: addid2 7901 00id 7903 addid1i 7904 addid1d 7911 addcan2 7943 subid 7981 subid1 7982 addid0 8135 shftval3 10599 reim0 10633 fsum3cvg 11147 summodclem2a 11150 |
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