Description: The set of faithful functors is a relation. (Contributed by Mario Carneiro, 26-Jan-2017)
Ref | Expression | ||
---|---|---|---|
Assertion | relfth | |- Rel ( C Faith D ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fthfunc | |- ( C Faith D ) C_ ( C Func D ) |
|
2 | relfunc | |- Rel ( C Func D ) |
|
3 | relss | |- ( ( C Faith D ) C_ ( C Func D ) -> ( Rel ( C Func D ) -> Rel ( C Faith D ) ) ) |
|
4 | 1 2 3 | mp2 | |- Rel ( C Faith D ) |