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 |