Theorems · Theorem · field theory
Irreducible.subsingleton_isRoot
∀ {R : Type u} [inst : CommRing R] {p : Polynomial R} [IsDomain R], Irreducible p → {x | p.IsRoot x}.Subsingleton- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
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
- Set.ofPredstatement and proof · cited by 6,101
- Polynomialstatement and proof · cited by 5,681
- IsDomainstatement and proof · cited by 2,196
- Irreduciblestatement and proof · cited by 496
- Set.Subsingletonstatement · cited by 276
- Polynomial.IsRootstatement and proof · cited by 152
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
- Polynomial.degree_eq_one_of_irreducible_of_rootproof · cited by 7
- Polynomial.subsingleton_isRoot_of_natDegree_eq_oneproof · cited by 1
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