Description: Grothendieck universes are closed under ordinal successor. (Contributed by Rohan Ridenour, 9-Aug-2023)
Ref | Expression | ||
---|---|---|---|
Hypotheses | grusucd.1 | ||
grusucd.2 | |||
Assertion | grusucd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | grusucd.1 | ||
2 | grusucd.2 | ||
3 | df-suc | ||
4 | grusn | ||
5 | 1 2 4 | syl2anc | |
6 | gruun | ||
7 | 1 2 5 6 | syl3anc | |
8 | 3 7 | eqeltrid |