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 } ) |