Theorems · Theorem · field theory
Polynomial.transcendental_X
∀ (R : Type u) [inst : CommRing R], Transcendental R Polynomial.X
- Defined in
- Mathlib.RingTheory.Algebraic.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Transcendentalstatement · cited by 91
- Polynomial.aeval_X_leftproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.not_weaklyQuasiFiniteAtproof · cited by 2
- RatFunc.transcendental_Xproof · cited by 2
- MvPolynomial.transcendental_Xproof · cited by 1
- Polynomial.transcendentalproof · cited by 0
- MvPolynomial.transcendental_supported_Xproof · cited by 0