Theorems · Theorem · commutative algebra
MvPolynomial.transcendental_polynomial_aeval_X
∀ {σ : Type u_1} (R : Type u_2) [inst : CommRing R] (i : σ) {f : Polynomial R},
Transcendental R f → Transcendental R ((Polynomial.aeval (MvPolynomial.X i)) f)- Cited by
- 2 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.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement · cited by 5,255
- Bot.botproof · cited by 4,720
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivproof · cited by 1,681
- RingHom.compproof · cited by 899
- RingHomClass.toRingHomproof · cited by 746
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.transcendental_Xproof · cited by 1
- MvPolynomial.transcendental_polynomial_aeval_X_iffproof · cited by 1