Theorems · Theorem · field theory
Polynomial.splits_neg_iff
∀ {R : Type u_1} [inst : Ring R] {f : Polynomial R}, (-f).Splits ↔ f.Splits- Defined in
- Mathlib.Algebra.Polynomial.Splits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- neg_negproof · cited by 960
- Polynomial.Splitsstatement and proof · cited by 290
- Polynomial.Splits.negproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.splits_X_pow_nat_card_sub_Xproof · cited by 0