Theorems · Theorem · commutative algebra
MvPolynomial.mem_restrictTotalDegree
∀ (σ : Type u) {R : Type v} [inst : CommSemiring R] (m : ℕ) (p : MvPolynomial σ R),
p ∈ MvPolynomial.restrictTotalDegree σ R m ↔ p.totalDegree ≤ m- Defined in
- Mathlib.RingTheory.MvPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.totalDegreestatement · cited by 76
- Finset.sup_le_iffproof · cited by 25
- MvPolynomial.restrictTotalDegreestatement and proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.restrictTotalDegree_le_restrictDegreeproof · cited by 0