# mathlibdocumentation

field_theory.mv_polynomial

# Multivariate polynomials over fields #

This file contains basic facts about multivariate polynomials over fields, for example that the dimension of the space of multivariate polynomials over a field is equal to the cardinality of finitely supported functions from the indexing set to ℕ.

theorem mv_polynomial.quotient_mk_comp_C_injective (σ : Type u) (K : Type v) [field K] (I : ideal K)) (hI : I ) :
theorem mv_polynomial.dim_mv_polynomial {σ K : Type u} [field K] :
K) = # →₀ )