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| Mirrors > Home > MPE Home > Th. List > mullidi | Structured version Visualization version GIF version | ||
| Description: Identity law for multiplication. (Contributed by NM, 14-Feb-1995.) |
| Ref | Expression |
|---|---|
| axi.1 | ⊢ 𝐴 ∈ ℂ |
| Ref | Expression |
|---|---|
| mullidi | ⊢ (1 · 𝐴) = 𝐴 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | axi.1 | . 2 ⊢ 𝐴 ∈ ℂ | |
| 2 | mullid 11260 | . 2 ⊢ (𝐴 ∈ ℂ → (1 · 𝐴) = 𝐴) | |
| 3 | 1, 2 | ax-mp 5 | 1 ⊢ (1 · 𝐴) = 𝐴 |
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