Metamath Proof Explorer


Theorem reldmmpl

Description: The multivariate polynomial constructor is a proper binary operator. (Contributed by Mario Carneiro, 21-Mar-2015)

Ref Expression
Assertion reldmmpl Rel dom mPoly

Proof

Step Hyp Ref Expression
1 df-mpl mPoly = ( 𝑖 ∈ V , 𝑟 ∈ V ↦ ( 𝑖 mPwSer 𝑟 ) / 𝑠 ( 𝑠s { 𝑓 ∈ ( Base ‘ 𝑠 ) ∣ 𝑓 finSupp ( 0g𝑟 ) } ) )
2 1 reldmmpo Rel dom mPoly