CoqEAL multipoly — multivariate polynomials as finite maps #
CoqEAL's multipoly refines multivariate polynomials to finite maps from monomial
exponent vectors to coefficients. In Mathlib MvPolynomial σ R is such a finite
map (σ →₀ ℕ exponents to coefficients), so the refinement is exhibited by reading
coefficients: a monomial's exponent vector selects its coefficient. This file pins
that reading down on X and on a monomial, the base of the multipoly
representation; the arithmetic refinement (coeff_mul over the exponent
antidiagonal) is the suite's frontier.