| Metamath Proof Explorer |
< Previous
Next >
Related theorems Unicode version |
| Description: Define the negative of a
number (unary minus). We use different symbols
for unary minus ( |
| Ref | Expression |
|---|---|
| df-neg |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA |
. . 3
| |
| 2 | 1 | cneg 5265 |
. 2
|
| 3 | cc0 5206 |
. . 3
| |
| 4 | cmin 5264 |
. . 3
| |
| 5 | 3, 1, 4 | co 3948 |
. 2
|
| 6 | 2, 5 | wceq 953 |
1
|
| Colors of variables: wff set class |
| This definition is referenced by: negeq 5331 hbneg 5334 negex 5337 negclt 5340 negidt 5351 neg11 5378 neg0 5387 renegcl 5388 mulneg1 5417 eqneg 5760 nn0subt 6108 fzshftralt 6454 seq0seqz 6474 seq00 6482 bernneq2 6584 discrlem3 6588 sqrlem11 6613 cji 6762 bcpasc 6907 fsumshft 6969 climrecl 7047 addinv 8065 cospi 8601 coshalfpip 8618 pilog 8690 nlelch 9909 |