Description: Express "every set is contained in a Grothendieck universe" in a short form while avoiding complicated definitions. (Contributed by Rohan Ridenour, 8-Oct-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | rr-grothshortbi | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex | |
|
2 | exancom | |
|
3 | dfuniv2 | |
|
4 | 3 | eqabri | |
5 | 4 | anbi2i | |
6 | 5 | exbii | |
7 | 1 2 6 | 3bitri | |
8 | 7 | albii | |