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Theorems · Theorem · commutative algebra

MvPolynomial.monomial_one_dvd_monomial_one

∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] [Nontrivial R] {i j : σ →₀ ℕ},
  (MvPolynomial.monomial i) 1 ∣ (MvPolynomial.monomial j) 1 ↔ i ≤ j
Defined in
Mathlib.Algebra.MvPolynomial.Division
Cited by
1 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringNontrivial
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MvPolynomial.X_dvd_X · cited by 0MvPolynomial.X_dvd_XDFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapFinsupp · cited by 5255FinsuppNontrivial · cited by 2416NontrivialMvPolynomial · cited by 2140MvPolynomialMvPolynomial.monomial · cited by 253MvPolynomial.monomialMvPolynomial.monomial_dvd_monomial · cited by 2MvPolynomial.monomial_dvd…MvPolynomial.monomial_one_dvd…CITED BYCITES

Cites9

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Cited by1

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