Theorems · Theorem · commutative algebra

MvPolynomial.mem_restrictDegree_iff_sup

∀ (σ : Type u) {R : Type v} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (p : MvPolynomial σ R) (n : ℕ),
  p ∈ MvPolynomial.restrictDegree σ R n ↔ ∀ (i : σ), Multiset.count i p.degrees ≤ n

Defined in

Mathlib.RingTheory.MvPolynomial.Basic

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringDecidableEq