Theorems · Theorem · commutative algebra
MvPolynomial.mem_degreesLE
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] {p : MvPolynomial σ R} {s : Multiset σ},
p ∈ MvPolynomial.degreesLE R σ s ↔ p.degrees ≤ s- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 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
- Multisetstatement and proof · cited by 2,627
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.degreesstatement · cited by 51
- MvPolynomial.degreesLEstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- chevalley_mvPolynomial_mvPolynomialproof · cited by 0