Description: Infer subclass relationship from equality. (Contributed by NM, 6-Jan-2007)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | eqimssi.1 | |- A = B |
|
| Assertion | eqimssi | |- A C_ B |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqimssi.1 | |- A = B |
|
| 2 | ssid | |- A C_ A |
|
| 3 | 2 1 | sseqtri | |- A C_ B |