Description: The set of natural numbers is equinumerous to its successor. (Contributed by NM, 30-Oct-2003)
Ref | Expression | ||
---|---|---|---|
Assertion | omensuc | ⊢ ω ≈ suc ω |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | omex | ⊢ ω ∈ V | |
2 | limom | ⊢ Lim ω | |
3 | 2 | limensuci | ⊢ ( ω ∈ V → ω ≈ suc ω ) |
4 | 1 3 | ax-mp | ⊢ ω ≈ suc ω |