Theorems · Theorem · field theory
Polynomial.finite_setOf_isRoot
Deprecated since 2026-07-09Use Polynomial.finite_setOfPred_isRoot instead.
∀ {R : Type u} [inst : CommRing R] [IsDomain R] {p : Polynomial R}, p ≠ 0 → {x | p.IsRoot x}.FiniteAlias of Polynomial.finite_setOfPred_isRoot.
- Defined in
- Mathlib.Algebra.Polynomial.Roots
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Set.ofPredstatement · cited by 6,101
- Polynomialstatement · cited by 5,681
- IsDomainstatement · cited by 2,196
- Set.Finitestatement · cited by 1,814
- Polynomial.IsRootstatement · cited by 152
- Polynomial.finite_setOfPred_isRootproof · cited by 7
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