Theorems · Theorem · commutative algebra
MvPolynomial.supported_le_supported_iff
∀ {σ : Type u_1} {R : Type u} [inst : CommSemiring R] {s t : Set σ} [Nontrivial R],
MvPolynomial.supported R s ≤ MvPolynomial.supported R t ↔ s ⊆ t- Defined in
- Mathlib.Algebra.MvPolynomial.Supported
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Nontrivialstatement and proof · cited by 2,416
- MvPolynomialstatement · cited by 2,140
- Subalgebrastatement · cited by 1,353
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.supportedstatement and proof · cited by 23
- MvPolynomial.supported_monoproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.supported_strictMonoproof · cited by 0