Description: Define the zero polynomial. (Contributed by Mario Carneiro, 19-Jun-2014)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-0p | ⊢ 0𝑝 = ( ℂ × { 0 } ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | c0p | ⊢ 0𝑝 | |
| 1 | cc | ⊢ ℂ | |
| 2 | cc0 | ⊢ 0 | |
| 3 | 2 | csn | ⊢ { 0 } |
| 4 | 1 3 | cxp | ⊢ ( ℂ × { 0 } ) |
| 5 | 0 4 | wceq | ⊢ 0𝑝 = ( ℂ × { 0 } ) |