Theorems · Theorem · field theory
Polynomial.roots_X
∀ {R : Type u} [inst : CommRing R] [inst_1 : IsDomain R], Polynomial.X.roots = {0}- Defined in
- Mathlib.Algebra.Polynomial.Roots
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialproof · cited by 5,681
- Multisetstatement and proof · cited by 2,627
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xstatement and proof · cited by 1,639
- sub_zeroproof · cited by 938
- Polynomial.rootsstatement and proof · cited by 264
- Polynomial.C_0proof · cited by 40
- Polynomial.roots_X_sub_Cproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.aroots_Xproof · cited by 2
- Polynomial.roots_X_powproof · cited by 1
- Polynomial.nthRoots_zero_rightproof · cited by 1