Description: Subset theorem for the set-like predicate. (Contributed by Mario Carneiro, 24-Jun-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | sess2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssralv | |
|
2 | rabss2 | |
|
3 | ssexg | |
|
4 | 3 | ex | |
5 | 2 4 | syl | |
6 | 5 | ralimdv | |
7 | 1 6 | syld | |
8 | df-se | |
|
9 | df-se | |
|
10 | 7 8 9 | 3imtr4g | |