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| Mirrors > Home > MPE Home > Th. List > df-neg | Structured version Visualization version GIF version | ||
| Description: Define the negative of a number (unary minus). We use different symbols for unary minus (-) and subtraction (−) to prevent syntax ambiguity. See cneg 11493 for a discussion of this. (Contributed by NM, 10-Feb-1995.) |
| Ref | Expression |
|---|---|
| df-neg | ⊢ -𝐴 = (0 − 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class 𝐴 | |
| 2 | 1 | cneg 11493 | . 2 class -𝐴 |
| 3 | cc0 11155 | . . 3 class 0 | |
| 4 | cmin 11492 | . . 3 class − | |
| 5 | 3, 1, 4 | co 7431 | . 2 class (0 − 𝐴) |
| 6 | 2, 5 | wceq 1540 | 1 wff -𝐴 = (0 − 𝐴) |
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