Theorems · Theorem · commutative algebra
MvPolynomial.idealOfVars_eq_restrictSupportIdeal
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R],
MvPolynomial.idealOfVars σ R = MvPolynomial.restrictSupportIdeal R (⇑Finsupp.degree ⁻¹' Set.Ici 1) ⋯- Defined in
- Mathlib.RingTheory.MvPolynomial.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 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.
Cites41
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coeproof · cited by 8,199
- Submoduleproof · cited by 7,192
- Finsuppstatement and proof · cited by 5,255
- Set.preimagestatement and proof · cited by 4,946
- Idealstatement · cited by 4,748
- Set.rangeproof · cited by 4,705
- AddMonoidHomstatement · cited by 3,230
- MvPolynomialstatement and proof · cited by 2,140
- le_antisymmproof · cited by 2,068
- map_zeroproof · cited by 1,614
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.pow_idealOfVarsproof · cited by 1