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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 6992 | 1 ⊢ (𝐴 ∈ ℂ → (𝐴 + 0) = 𝐴) |
Colors of variables: wff set class |
Syntax hints: → wi 4 = wceq 1243 ∈ wcel 1393 (class class class)co 5512 ℂcc 6887 0cc0 6889 + caddc 6892 |
This theorem was proved from axioms: ax-0id 6992 |
This theorem is referenced by: addid2 7152 00id 7154 addid1i 7155 addid1d 7162 addcan2 7192 subid 7230 subid1 7231 shftval3 9428 reim0 9461 |
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