Theorems · Theorem · field theory
Polynomial.nthRoots_zero
∀ {R : Type u} [inst : CommRing R] [inst_1 : IsDomain R] (r : R), Polynomial.nthRoots 0 r = 0- Defined in
- Mathlib.Algebra.Polynomial.Roots
- Cited by
- 5 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.
Cites10
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
- Multisetstatement · cited by 2,627
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- pow_zeroproof · cited by 1,094
- Polynomial.roots.congr_simpproof · cited by 31
- Polynomial.nthRootsstatement · cited by 19
- Polynomial.roots_Cproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- primitiveRoots_zeroproof · cited by 5
- Polynomial.nthRootsFinset_zeroproof · cited by 4
- IsPrimitiveRoot.nthRoots_eqproof · cited by 3
- IsPrimitiveRoot.card_nthRootsproof · cited by 2
- IsPrimitiveRoot.nthRoots_nodupproof · cited by 1