Description: Omega is an ordinal number. (Contributed by NM, 10-May-1998) (Revised by Mario Carneiro, 30-Jan-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | omelon | ⊢ ω ∈ On |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | omex | ⊢ ω ∈ V | |
2 | omelon2 | ⊢ ( ω ∈ V → ω ∈ On ) | |
3 | 1 2 | ax-mp | ⊢ ω ∈ On |