This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

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⦌ s ↾ 𝑠 f ∈ Base s | finSupp 0 r⁡ f
2 1 reldmmpo ⊢ Rel ⁡ dom ⁡ mPoly