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| Mirrors > Home > MPE Home > Th. List > necom | Structured version Visualization version GIF version | ||
| Description: Commutation of inequality. (Contributed by NM, 14-May-1999.) |
| Ref | Expression |
|---|---|
| necom | ⊢ (𝐴 ≠ 𝐵 ↔ 𝐵 ≠ 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqcom 2744 | . 2 ⊢ (𝐴 = 𝐵 ↔ 𝐵 = 𝐴) | |
| 2 | 1 | necon3bii 2993 | 1 ⊢ (𝐴 ≠ 𝐵 ↔ 𝐵 ≠ 𝐴) |
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