Description: Subclass relationship for subclass union. Inference form of uniss . (Contributed by David Moews, 1-May-2017)
Ref | Expression | ||
---|---|---|---|
Hypothesis | unissi.1 | |- A C_ B |
|
Assertion | unissi | |- U. A C_ U. B |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | unissi.1 | |- A C_ B |
|
2 | uniss | |- ( A C_ B -> U. A C_ U. B ) |
|
3 | 1 2 | ax-mp | |- U. A C_ U. B |