Theorems · Theorem · commutative algebra
MvPolynomial.supported_empty
∀ {σ : Type u_1} {R : Type u} [inst : CommSemiring R], MvPolynomial.supported R ∅ = ⊥- 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Bot.botstatement and proof · cited by 4,720
- MvPolynomialstatement and proof · cited by 2,140
- Subalgebrastatement · cited by 1,353
- MvPolynomial.Xproof · cited by 552
- Algebra.adjoinproof · cited by 535
- Set.image_emptyproof · cited by 73
- MvPolynomial.supportedstatement · cited by 23
- Algebra.adjoin_emptyproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.transcendental_polynomial_aeval_Xproof · cited by 2