Metamath Proof Explorer


Definition df-0p

Description: Define the zero polynomial. (Contributed by Mario Carneiro, 19-Jun-2014)

Ref Expression
Assertion df-0p 0𝑝 = ( ℂ × { 0 } )

Detailed syntax breakdown

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 } )