Theorems · Theorem · field theory
Polynomial.Splits.neg
∀ {R : Type u_1} [inst : Ring R] {f : Polynomial R}, f.Splits → (-f).Splits- Defined in
- Mathlib.Algebra.Polynomial.Splits
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 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.
Cites7
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
- Polynomial.Splitsstatement and proof · cited by 290
- neg_one_mulproof · cited by 61
- Polynomial.C_1proof · cited by 57
- Polynomial.C_negproof · cited by 25
- Polynomial.Splits.C_mulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.splits_neg_iffproof · cited by 1
- Polynomial.Splits.comp_neg_Xproof · cited by 1