Description: Define the set of nonnegative integers. (Contributed by Raph Levien, 10-Dec-2002)
Ref | Expression | ||
---|---|---|---|
Assertion | df-n0 | ⊢ ℕ0 = ( ℕ ∪ { 0 } ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | cn0 | ⊢ ℕ0 | |
1 | cn | ⊢ ℕ | |
2 | cc0 | ⊢ 0 | |
3 | 2 | csn | ⊢ { 0 } |
4 | 1 3 | cun | ⊢ ( ℕ ∪ { 0 } ) |
5 | 0 4 | wceq | ⊢ ℕ0 = ( ℕ ∪ { 0 } ) |