Description: The empty set is an ordinal class. (Contributed by NM, 11-May-1994)
Ref | Expression | ||
---|---|---|---|
Assertion | ord0 | ⊢ Ord ∅ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tr0 | ⊢ Tr ∅ | |
2 | we0 | ⊢ E We ∅ | |
3 | df-ord | ⊢ ( Ord ∅ ↔ ( Tr ∅ ∧ E We ∅ ) ) | |
4 | 1 2 3 | mpbir2an | ⊢ Ord ∅ |