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Mirrors > Home > MPE Home > Th. List > addid2d | Structured version Visualization version GIF version |
Description: 0 is a left identity for addition. (Contributed by Mario Carneiro, 27-May-2016.) |
Ref | Expression |
---|---|
muld.1 | ⊢ (𝜑 → 𝐴 ∈ ℂ) |
Ref | Expression |
---|---|
addid2d | ⊢ (𝜑 → (0 + 𝐴) = 𝐴) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | muld.1 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℂ) | |
2 | addid2 10894 | . 2 ⊢ (𝐴 ∈ ℂ → (0 + 𝐴) = 𝐴) | |
3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → (0 + 𝐴) = 𝐴) |
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