Theorems · Theorem · field theory
IsTranscendenceBasis.polynomial
∀ (ι : Type u) (R : Type u_1) [inst : CommRing R] [Nonempty ι] [Subsingleton ι], IsTranscendenceBasis R fun x => Polynomial.X
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNonemptySubsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- Polynomialstatement · cited by 5,681
- Finsuppproof · cited by 5,255
- Equiv.symmproof · cited by 3,681
- Nontrivialproof · cited by 2,416
- MvPolynomialproof · cited by 2,140
- Polynomial.Xstatement and proof · cited by 1,639
- AlgEquiv.symmproof · cited by 615
- MvPolynomial.Xproof · cited by 552
- Uniqueproof · cited by 400
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.trdeg_of_isDomainproof · cited by 0