Theorems · Theorem · commutative algebra
MvPolynomial.supported_mono
∀ {σ : Type u_1} {R : Type u} [inst : CommSemiring R] {s t : Set σ},
s ⊆ t → MvPolynomial.supported R s ≤ MvPolynomial.supported R t- Defined in
- Mathlib.Algebra.MvPolynomial.Supported
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 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.
Cites8
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
- MvPolynomialstatement · cited by 2,140
- Subalgebrastatement · cited by 1,353
- Set.image_monoproof · cited by 197
- Algebra.adjoin_monoproof · cited by 24
- MvPolynomial.supportedstatement · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.supported_le_supported_iffproof · cited by 1