Theorems · Definition · commutative algebra
MvPolynomial.supportedEquivMvPolynomial
{σ : Type u_1} →
{R : Type u} → [inst : CommSemiring R] → (s : Set σ) → ↥(MvPolynomial.supported R s) ≃ₐ[R] MvPolynomial (↑s) RThe isomorphism between the subalgebra of polynomials supported by s and
MvPolynomial s R.
- Defined in
- Mathlib.Algebra.MvPolynomial.Supported
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 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.
Cites15
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
- Set.Elemstatement · cited by 7,166
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement · cited by 1,353
- AlgEquiv.symmproof · cited by 615
- AlgHom.rangeproof · cited by 169
- MvPolynomial.renameproof · cited by 168
- AlgEquiv.transproof · cited by 108
- MvPolynomial.supportedstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.transcendental_supported_polynomial_aeval_Xproof · cited by 4
- MvPolynomial.supportedEquivMvPolynomial_symm_Xstatement · cited by 1
- MvPolynomial.supportedEquivMvPolynomial_symm_Cstatement · cited by 0