Theorems · Theorem · commutative algebra
MvPolynomial.transcendental_supported_X_iff
∀ {σ : Type u_1} (R : Type u_2) [inst : CommRing R] [Nontrivial R] {i : σ} {s : Set σ},
Transcendental (↥(MvPolynomial.supported R s)) (MvPolynomial.X i) ↔ i ∉ s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivial
Around this declaration
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Cites11
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
- CommRingstatement and proof · cited by 17,173
- Finsuppstatement · cited by 5,255
- Nontrivialstatement and proof · cited by 2,416
- MvPolynomialstatement and proof · cited by 2,140
- Subalgebrastatement · cited by 1,353
- MvPolynomial.Xstatement and proof · cited by 552
- Polynomial.aeval_Xproof · cited by 120
- Transcendentalstatement and proof · cited by 91
- MvPolynomial.supportedstatement and proof · cited by 23
- MvPolynomial.transcendental_supported_polynomial_aeval_X_iffproof · cited by 1
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