| Metamath Proof Explorer |
< Previous
Next >
Related theorems Unicode version |
| Description: Deduction from equality to inequality. |
| Ref | Expression |
|---|---|
| necon3bbii.1 |
|
| Ref | Expression |
|---|---|
| necon3bbii |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | necon3bbii.1 |
. . . 4
| |
| 2 | 1 | bicomi 172 |
. . 3
|
| 3 | 2 | necon3abii 1588 |
. 2
|
| 4 | 3 | bicomi 172 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem is referenced by: tfi 3116 oelim2 4206 bcthlem9 7941 effoiOLD 8667 shne0 9286 pjnel 9585 cnfilca 10451 |
| This theorem was proved from axioms: ax-1 4 ax-2 5 ax-3 6 ax-mp 7 |
| This theorem depends on definitions: df-bi 147 df-ne 1579 |